### Normal Approximation & Binomial Probability

Find the normal approximation for the binomial probability that x = 5, where n = 14 and p = 0.7. Compare this probability to the value of P(x=5) found in Table 2 of Appendix B in your textbook.

Find the normal approximation for the binomial probability that x = 5, where n = 14 and p = 0.7. Compare this probability to the value of P(x=5) found in Table 2 of Appendix B in your textbook.

3. For this question pretend you are drawing cards without replacement from the infamous "Iraq's Most Wanted" deck issued by the U.S. Military before Saddam Hussein and his gang were killed or captured. If you are drawing from the full deck of 52 cards (no jokers), what are the following probabilities? a. You draw a card that

1) Suppose a deck of 10 cards each with a different digit from 0-9 are shuffled and a card from the top of the deck is drawn. Find the following probabilities. a) That the outcome is odd. b) That the outcome is prime (2, 3, 5 and 7). c) That the outcome is odd and prime . d) That the outcome is odd or prime . e) That the ou

Note: Please round all probability answers correct to three places. 1. A university found that 22% of its students who registered for Statistics I withdraw without completing the course. Assume that 25 students register for Statistics I. a. Compute the probability that exactly 8 students will withdraw without completing

As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let X be the finishing time for a finisher in the New York 10-km run. a) What is the chance that finishers complete the run with the times b

There are 7 rotten apples in a crate of 26 apples. a. how many samples of 3 apples can be drawn from the crate? b. how many samples of 3 could be drawn in which all 3 are rotten? c. how many samples of 3 could be drawn in which there are two good apples and one rotten one?

The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selected as vice president of research. How many different arrangements of the two vice presidents are possible?

1. If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1 - P (z < a)? Why or why not? 2. Given a binomial distribution with n= 36 and p = 0.87, would the normal distribution provide a reasonable approximation? Why or Why not? 3.A. Find the binomial probability P (x=6), where n

In a class of 10 students, what is the probability that at least 2 students were born on the same day of the year (365 days)?

Assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a) red, (b) green, (c) yellow, (d) green. The spinner is divided into 8 halves. There are (a) red = 4, (b) green = 1, (c) yellow = 1, and (d) blue = 2 The spinner landed on yellow so it would be 1/8 or 1:8, right?

Please give step by step solution to the following problems. 8. The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour; on average, 10 customers arrive to purchase tickets

Please provide a detailed step by step solution to the given problems. Problem 2: The owner of the Burger Doodle Restaurant is considering two ways to expand operations: open a drive-up window or serve breakfast. The increase in profits resulting from these proposed expansions depends on whether a competitor opens a franchis

In a study to determine frequency and dependency of color blindness relative to females and males 1000 people were chosen at random and the following results were recorded: A. Convert the table to a probability table by dividing each entry by 1,000. B. What is the probability that a person is a woman, given that the pers

After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and lose $3 million if not (probability .6); site B will net $70 million if successful (probability .3) and lose $5 million if not (probability .7). Wh

Please refer to the attachment for the Joint Probability Table. A. If a driver in this city is selected at random, what is the probability that he or she drives less than 10,000 miles per year or has a accident? B. If a driver in this city is selected at random, what is the probability that he or she drives 10,000 or more

Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting A. The probability of selecting 3 females and 2 males is approximately? B. The probability of selecting 4 females and 1 male is appro

1) Calculate the theoretical probability of rolling "snake eyes" or two ones with a pair of dice. Compare the theoretical probability of the results of Mike's experiment. Are the theoretical and experimental probabilities the same? Explain any differences. See the attachment for the data of Mike's experiment. 2) Jeff built

Please help with the following probability problems. Show the formula and the steps in working the formula for each problem. In a poll conducted in 2007, 2000 adults ages 18 yr and older were asked how frequently they are in touch with their parents by phone. The results of the poll are as follows: Answer

1. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independent events. 2. Explain why the following statement is incorrect. The probability that a b

1: The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects? 2: If the odds of winning a raffle are 2:229, what is the probability of winning? 3: One thousand raffle tickets are

1. A bag contains 6 purple marbles, 7 azure marbles and 10 orange marbles. What is the chance of drawing a purple marble? If a purple marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing an orange marble? Give solutions exactly in reduced fraction form. 2. A mini lice

The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down, and a .4 probability the price will be unchanged. If the last price was unchanged, there is a .35 probability it will be down and a .35 probabilit

A random variable T is selected that is uniformly distributed over the interval (0; 1]. Then a second random variable U is chosen, uniformly distributed on the interval (0; T]. What is the probability that U exceeds 1/2?

1. Of 23 college sophomores at Crocodile Community College, 12 preferred pepperoni pizza, 7 preferred supreme, and 4 preferred cheese. If we picked a college sophomore at Crocodile Community College at random, what is the probability that he or she would prefer supreme? Give solution exactly in reduced fraction form. 2. If

A study of 203 advertising firms revealed their income after taxes: Income after Taxes Number of Firms Under $1 million 102 $1 million to $20 million 54 $20 million or more 47 (a) What is the probability an advertising firm sele

Please see attachment 1# Mr. Doodle's grade distribution over the past 3 years for a course in college algebra is shown in the chart below.  Grade Number A 45 B 180 C 110 D 95 F 65 I 5 If Jane plans to take a college algebra course with Mr. Doodle, determine the empirical probability that sh

1. Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that the second marble is blue, given that the first marble is blue. 2. There are 10 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how ma

10. Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent. The average size of the fish in a lake is 11.4 inches, with a standard deviation of 3.2 inches. Find the probability of catching a fish longer than 17 inches. 11. A company installs 5000 light

Alice Tanner is a nurse on the night shift from 10:00 P.M. to 6:00 A.M. at Community Hospital. She has 15 patients for whom she is responsible in her area. She averages two calls from each of her patients every night on average (Poisson distributed) and she must spend an average of 10 minutes (exponentially distributed) with eac

Norfolk, Virginia, a major seaport on the East Coast, has a ship coal loading facility. Coal trucks filled with coal presently arrive at the port facility at mean rate of 149 per day (Poisson distributed). The facility operates 24 hours a day. The coal trucks are unloaded one at a time on a first-come, first-served basis by m