2- Given a discrete Binomial distribution with n = 5, p = 3/4. The probability of P(X<3) is. a) 0.3672 b) 0.6327 c) 0.0888 d) None of the above
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- The probability distribution of a random variable x is as shown in the following table: x -2 1 5 6 P(x) 0.16 ? 0.31 0.21 a)Find P(x=1) b)Find the probability that the random variable x is at most 2. c)Find the probability that the random variable x is at least 1. d)Find P(0<x<1) e)Find P(2<x<6)The number X of days in the winter months that a carpenter cannot work because of the weather hasthe probability distribution of:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car counter at Honolulu International Airport has the following probability distribution. Automobiles Rented Probability 0 .10 1 .25 2 .45 3 “a” 4 .05 Find the probability of renting between 2 and 4 automobiles (including 2 and 4).
- The following distribution is not a probability distribution because -5 4 0.21 -3 -2 -1 P(x) 0.23 -0.18 0.45 0.29 A) A values of x is negative B) A probability is negative C) The probability values do not add to 1 D) | The probability values are not discreteAssume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x=7)=P(x=7)= Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x≤7)=P(x≤7)= Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? no yesQ P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5
- None0.5 k 0.4 0.3 0.2 0.1 n = 25 p=0.5 5 10 15 20 P(13 ≤ X ≤ 15) = 0.39 The GeoGebra Applet above allows you to explore a binomial distribution up to n = 25. Suppose Bob wins 25% of his professional chess matches. He going to play 23 of chess games next week. Determine the following. 25 i) The probability that Bob wins between 2 and 7 games is (to two decimal places) 0.00 Note: here between means includuing 2 and 7. ii) The probability that Bob wins 9 or more games is (to two decimal places) 0.00 iii) The probability that Bob wins 2 or less games is 0.00A discrete random variable x has the the following probability distribution X 2 3 4 5 6 P(X=x) 3k2k2 3k2k2 3kk 2kk kk i) Find the value of k? ii) Find P[X>5][3.5<X<6.5]P[X>5][3.5<X<6.5]
- Consider the following probability distribution: x -3 -2 -1 0 1 2 3 4 P(x) .02 .07 .10 .30 .18 .10 .06 .02 A) Calculate Mu, Sigma, and Sigma2. B) Graph P(x). Locate Mu and the second standard deviation intrval on the graph. C) What is the possibility that x is on that interval?Assume that 12 jurors are randomly selected from a population in which 71% of the people are Asian-Americans. Refer to the probability distribution table below and find the indicated probabilities. x� P(x)�(�) 0 0+ 1 0+ 2 0.0001 3 0.0011 4 0.0063 5 0.0246 6 0.0704 7 0.1477 8 0.2261 9 0.246 10 0.1807 11 0.0804 12 0.0164 Find the probability of exactly 8 Asian-Americans among 12 jurors.2. Use the normal approximation to the binomial with n=10 and p=0.5 to find the probability P(X27)