1. A college requires applicants to have an ACT score in the top 15 % of all test scores . The ACT scores are normally distributed , with a mean of 17 and a standard deviation of 3.24 . Find the lowest test score that a student could get and still meet the college 's requirement? 2.With the conditions of problem 1, if 20 st
1. During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person. 2. If you roll a die many times, what would you expect to be the relative frequency of rolling
#1.) If order of the draw were important in a lottery, what would be the effect on odds of winning, if any? Explain. #2.) Given 32 flavors of ice cream, how many arrangements are possible on a double scoop cone? How many on a triple scoop cone? What is the probability of getting a triple scoop of the same flavor? #3.)
1. A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow ? ( Assume that the probability distribution of breakdowns is a Poisson distribution)
Please see the attached problems
A glass manufacturer finds that one in every 1000 items produced is warped. What is the probability that in a random sample of 5000 glass items there will be a. No warped glass items? b. More than one warped glass items?
Thirty percent of women are basketball fans . Four women are randomly selected . Find the probability distribution of the random variable X, the number of basketball fans in the sample . Determine the mean , variance and standard deviation of X.
A shipment of 9 computers contains 2 defective. Four computers are randomly selected from the shipment. Find the probability distribution of the random variable X, the number of defective computers in the sample. Determine the mean, variance, and standard deviation of X.
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15 ( as on the Wechsler test). Find the probability that a randomly selected adult has an IQ between 90 and 110 (referred to as the normal range).
1. A student takes a multiplication test . There are 12 questions . Each question has 4 possible answers . What is the probability that a completely unprepared student answers correctly. a. 5 questions?
Find the probability distribution of the value x. mean , variance and standard derivation. Two dice rolled . x is the sum of numbers on the top faces.
Please show all steps using the formula : p1 +p2 + pn = 1 Find the probability distribution of the value x. mean variance and standard derivation. 1. two dice are rolled . x is the sum of numbers on the top faces. 2. five cards are randomly selected from a standard deck. x is the number of aces in the sample. 3.
One problem attached There are nine tennis balls in a box, of which only 5 have not previously been used. Four of the balls are chosen randomly from the box....Find the probability distribution, Evaluate the expectation, Evaluate the variance
Problem attached. Suppose that a random variable X has a probability density function f(x)=Ce^-2x....
One problem attached A sample space consists of five elements....For which of the following sets of probabilities does the corresponding triple become a probability space?
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that (a) The second ball is black (b) The first ball was white, given that the second ball is black.
See attached file for solution. E[f(x)] is the expectation of the function f(x), given some probability density function p(x)....
There are seven cards with digits 0, 1, 2, 3, 4, 5, and 6. A child takes four of the card and places them in some order. What is the probability that he obtains a four -digit number less than 3265?
Please write the probability formula for each one. 1. Twenty five scientists are seeking financial support from the National Science Foundation. Find the number of ways in which the NSF panel can select four of the twenty five submitted proposals ranking them as first second , third , and fourth. 2. A basket contains 6 red
1. Gamma construction company has been asked to bid on the construction of 20 lighted tennis courts for State university. Each court will cost $20,000 in construction costs, and, in addition, there will be a fixed expense of $10,000 to cover the preparation and submittal of the bid. Gamma is considering five different bid le
# 1 When playing the lottery in your (or a nearby) state, how many possible "different" tickets are there? How many ways are there to win (note that there are often several levels of winning)? What are your odds of winning? # 2 Do you agree or disagree that the lottery is a tax on people who are bad at math? Drawing
1. A card is randomly selected from a standard deck. Find the probability that the card is between four and eight (inclusive) or is a club. 2. Use the fundamental counting principle: Until recently, with the advent of cellular phones, modems, and pagers, the area codes in the United States and Canada followed a certain syste
1. Roughly speaking, what is an experiment? An event? Give an example of each. ... [See the attached Question File.]
An engineer experiments with a sample of 2 vascular plants (V) and 4 nonvascular plants (N). She randomly selects two plants for further experimentation. (a) Find the probability that the first and second plants are (N) with replacement (With replacement means a sampling method to select samples in which items are repl
(a) Suppose that A and B are independent events P(A)=0.6 and P(B)=0.2 Find P(A intersect B') *B' = B complement :) (b) Suppose that A and B are now mutually exclusive calculate P(BlA).
A box of bolts contntains 8 thick bolts, 5 medium bolts, and 3 thin bolts. A box of nuts contains 6 that fit the thick bolts, 4 that fit the medium bolts, and 2 that fit the thin bolt. One bolt and one nut are chosen at random. QUESTION: What is the probability that the nut fits the bolt? (Note: the sample space consists of
Three pieces of paper labeled 2,4, and 6 are placed in a jar. You randomly select a piece of paper from the jar and then randomly draw k cards (without replacement) from a standard deck of 52 cards, where k is the number on the piece of paper you drew. Given that no aces are selected, what is the probability that the number on t
In a survey, 80% of the voters support a particular referendum. If 20 voters are chosen at random, and X is the number of voters that support this referendum, find the mean and variance of X.
A school is sending 11 children to a camp. If 25% of the children in the school are first graders, and the children are selected at random, what is the mean and variance of the number of first graders chosen?
If a student randomly guesses at 20 multiple-choice questions, what is the probability that the student gets exactly four correct? Each question has four possible choices. (Enter your answer in decimal format. Answer should have two decimal positions.)