Probability-Poker Hands
If it is assumed that all (52 5) poker hands are equally likely, what is the probability of being dealt (a) one pair (a,a,b,c,d) , (b) two pairs (a,a,b,b,c) (c) three of a kind (a,a,a,b,c).
If it is assumed that all (52 5) poker hands are equally likely, what is the probability of being dealt (a) one pair (a,a,b,c,d) , (b) two pairs (a,a,b,b,c) (c) three of a kind (a,a,a,b,c).
Question: X and Y have the joint pmf described below: (x,y) (1,1) (1,2) (1,3) (2,1) (2,2) (2,3) p(x,y) 2/15 4/15 3/15 1/15 1/15 4/15 and p(x,y)=0 elsewhere. Compute E(Y|X=1) and E(Y|X=2).
A company requires its secretarial employees to demonstrate his/her ability to type more than 45 words per minute in a typing test. The incompetent employees will be terminated. Lucy's typing rate is uniformly distributed between 30 and 50 words per minute. 1. What is the probability that she can type 45 to 50 words per mi
Let X1 and X2 have the joint pdf h(x1, x2)= 2e^(-X1-X2), 0<X1<X2<infinity, zero elsewhere. Find the joint pdf of Y1=2X1 and Y2=X2-X1. I'm having trouble with transforming the boundaries.
Let X1 and X2 have the joint pmf p(x1,x2) = (x1x2)/36 x1=1,2,3 and x2=1,2,3, zero elsewhere. Find first the joint pmf of Y1=X1X2 and Y2=X2, and then find the marginal pmf of Y1.
The National Collegiate association (NCAA) reported that the mean number of hours spent per week on coaching and recruiting by college football assistant coaches during the season 70. A random sample of 50 assistant coaches showed the sample mean to be 68.6 hours, with a standard deviation of 8.2 hours. a. Using the sample
Suppose 60% of families in a certain town have children. 40% of families have at least one child 6 or under 6, and 60% of families have at least one child over 6. What percentage of families have children of all ages? I know I am supposed to use the equation or something like that P(a or b) = P(A) + PB) - P(A-B) but I
In a certain city, 50 percent of the people consider themselves conservative (C), 25 percent consider themselves liberal (L), and 25 percent consider themselves to be independent (I). During a particular election, 40 percent of the Conservatives voted, 45 percent of the Liberals voted, and 60 percent of the Independents voted.
Question: Suppose we turn over cards simultaneously from two well shuffled decks of ordinary playing cards. We say we obtain an exact match on a particular turn if the same card appears from each deck: for example, the queen of spades against the queen of spades. Let pm equal the probability of at least one exact match. Show
CASE: Mrs. Jones, a robust 50 year old insurance adjuster living in the northern suburbs of Chicago has been diagnosed by a University cardiologist as having a defective heart valve. Although she is otherwise healthy, Jones's heart problem could prove fatal if left untreated. Firm research data are not yet available to predict
Let X be the number of gallons of ice cream that is requested at a certain store on a hot summer day. Assume that f(x)= 12x(1000-x)^2/10^12, 0<x<1000, zero elsewhere, is the pdf of X. How many gallons of ice cream should the store have on hand each of these days, so that the probability of exhausting its supply on a particular
Cast a die a number of independent times until a six appears on the up side of the die. Find the probability density function F(x)= P(X<= x).
20. A random sample of n bike helmets manufactured by a certain company is selecrted. Let X = the number abong n that are flawed ... a. Derive the maximum likelihood estimator ... b. Is the estimator unbiased? c. If n = 20 and x - 3, what is the mle of the probability ... (see attachment for complete question)
20. A random sample of n bike helmets manufactured by a certain company is selected. Let X = the number among the n that are flawed, and let p = P(flawed). Assume that only X is observed, rather than the sequence of S's and F's. a. Derive the maximum likelihood estimator of p. If n = 20 and x = 3, what is the estimate? b. Is t
26. Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. Suppose the joint distribution of X and Y is as given in the table in Exercise 7 (see attachment). Compute the expected r
Let X have the pdf f(x)=2x if 0<x<1, zero elsewhere. Let Y=-2 ln X. Find the distribution function and pdf of Y.
If A and B are two independent events with probabilities, P(A)=0.6 and P(B)=0.4, then compute the probability that: (i) Exactly one of them will occur. (ii) Either A or B will occur.
a. A book of 450 pages contains 450 random misprint error(s). What is the probability of exactly 0 errors on a randomly selected page? b. What is the probability of at least 3 error(s) on any one page? c. What is the probability of between 1 and 4 (inclusive) random misprint error on any one page? Express you answer using 3 s
A bag contains 5 white, 7 black and 4 red balls, find the chance that three balls drawn at random are white balls.
78. Consider the system of components connected as in the accompanying picture... Please see attached.
1.Go to this WHO website: http://www3.who.int/whosis/life/life_tables/life_tables.cfm?path=whosis,life,life_tables&language=english Look up the life table for Afghanistan. A.Plot the survival curve for males and for females. Briefly describe any differences or trends. B.What is the chance of surviving birth to age 60 f
I need you to explain to me step by step how to solve this problem. I am having trouble understanding this question. Question: A bag contains 40 blue marbles, 40 red marbles, and 20 green marbles. 60 of the marbles are big. These marbles are selected at random without replacement. What is the probability of randomly selecti
It's estimated that 57% of Americans live in households with 1 or 2 people, 32% live in households with 3 or 4 people and 11% live in households with 5 or more. Explain how you will find the expected number of people in an American household. The probability of winning when you bet on a single number in roulette is 1 in 3
Check that {see attachment} is a density function. Please see attachment for complete list of questions.
Shaquille O'Neal is not recognized as good free throw shooter. Career average is 0.532 (53.2%). Suppose in a game Shaq takes 5 free throws. a. What type of probability distribution is this? Explain (Binomial???) b. What are the mean and standard deviation for the number of made free throws? c. What is the probability
1) One of the ways most Americans relieve stress is to reward themselves with sweets. According to one study, 46% admit to overeating sweet foods when stressed. Suppose that the 46% figure is correct and that a random sample of n = 100 Americans is selected. a) Does the distribution of p^, the sample proportion of Americans w
For what value of c is f(x)... a density function? Please see attached for full question.
Find the mean and variance of random variables having the Gamma and Beta distributions, described in Definitions 3.11 and 3.12. Please see the attached file for full question.
The Northside Rifle team has two marksperson, Dick and Sally. Dick hits a bull's-eye 90% of the time, and Sally hits a bull's-eye 95% of the time. (a) What is the probability that either Dick or Sally or both will hit the bull's-eye if each takes one shot? (b) What is the probability that Dick and Sally with both hit the bull'
Ace Machine Works estimates that the probability its lathe tool is properly adjusted is 0.8. When the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection. If the lathe is out of adjustment, however, the probability of a good part being produced is only 0.2. A part randomly chosen is ins