Probability of event s1 = 0.21, probability of event s2 = 0.17, probability of event s3 = 0.39, probability of event s4 = 0.23 Suppose that t = {s2 union s4}. Find P(t). A)
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- 5. Calculate D. Probability of female respondents and not liking shopping for clothesE. Probability of male respondents with conditions like shopping for clothes Please solve sub parts d,e max in 30 minutes thank u and no rejectAccording to a survey, the probability that a randomly selected worker primarily drives a van to work is 0.845. The probability that a randomly selected worker primarily takes public transportation to work is 0.051. Complete parts (a) through (d). (a) What is the probability that a randomly selected worker primarily drives a van or takes public transportation to work? P(worker drives a van or takes public transportation to work): %3D (Type an integer or decimal rounded to three decimal places as needed.) (b) What is the probability that a randomly selected worker primarily neither drives a van nor takes public transportation to work? P(worker neither drives a van nor takes public transportation to work) = (Type an integer or decimal rounded to three decimal places as needed.) (c) What is the probability that a randomly selected worker primarily does not drive a van to work? P(worker does not drive a van to work) =| (Type an integer or decimal rounded to three decimal places as needed.)…If P(A)-=0.7, P(B)=0.3, and P(A and B)=0.07, are A and B independent? A. No B. Yes C. Not enough information
- 12. The table shows the number of students who took the March Bar Test for the first time and thc numbcr of students who repact the exam. Passed Failed Total 6458 2058 First time 4427 2252 1845 407 Repeat Total 8737 4834 3903 a. )Find the probability that a student failed, given that the student took the exam for the first time. b.) Find the probability that a studnt repeated the exam, given the student passed.A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.1. Determine the requested probabilities. -2 -1 1 2 f(x) 0.2 0.4 0.1 0.2 0.1 a) P(xs 2) b) P(x > -2) c) P(-1 sx< 1) d) P(x = 2 or xs-1)
- OSM HTAM MATH 1420 11. A roulette wheel has 38 slots around the rim. The first 36 slots are numbered from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equally likely chance of falling into any one of the 38 slots. Find each of the following: a. The probability that the ball lands in a black slot. b. The probability that the ball lands on 0 or 00. C. The probability that the ball does not land on a number from 1 through 12 d. The probability that the ball lands on an odd number or on a green slotFind values of n, x, p and q. DO NOT SOLVE based on American Chemicsl Society, there is a 0.9 probability that in the United States, a randomly selected dollar bill is tainted with traces of cocaine. Assume 8 dollar bills are randomly selected. Find the probability that at least 5 of them have traces of cocainewhich expressions correctly describes the experimental probability, P(B), where n(B) is the number of times event B occurred and n(T) is the total number of trials, T, in the experiment? a) P(B) = n(B) x n(T) b) P(B) = n(N) + n(T) c) P(B) = n(T)/n(B) d) P(B) = n(B)/n(T)
- 5.3 A bent coin, with heads probability .2, is tossed 13 times. Let X be the number of heads in the 13 tosses. Find (a) P(X =5), and (b) P(X = 12).ANSWERS ALL PARTS A,B,C A) Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance. B) Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers obtained in 2 rolls of a dice. Calculate E(Y), Var(Y). C) Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z), Var(Z) from the result of part a and b.Find the indicated probabilities: a. P(5sxs7); µ=6; o=2 ANS: b. P(10sxs16); µ=15; 0=4 ANS: c. P(7sxs9); H=5; o=2 ANS: d. P(1sxs2.6); µ=1.5; 0=0.4 ANS:
