1)The probability that an event occurs in each of 18 independent trials is 0.2. Find the probability that this event will occur at least three times?
2)The probability of winning with one purchased lottery ticket is 0.02. Evaluate the probabilities of winning a prize with n tickets for n = 1,10,20,30,40,50,60,70,80,90,100 if the tickets belong to different series for each case.
1)The probability that an event occurs in each of 18 independent trials is 0.2. Find the...
Use the "at least once" rule to find the probability of the following event. Purchasing at least one winning lottery ticket out of 7 tickets when the probability of winning is 0.06 on a single ticket The probability is (Round to four decimal places as needed.)
Events A and B are independent. Suppose event A occurs with probability 0.32 and event B occurs with probability 0.20. a. If event A or event B occurs, what is the probability that both A and B occur? b. If event A occurs, what is the probability that B does not occur? Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) X 5 ? b. Events A and B are independent. Suppose event...
Events A and B are independent. Suppose event A occurs with probability 0.62 and event Boccurs with probability 0.67. a. If event A or event Boccurs, what is the probability that both A and B occur? b. If event B occurs, what is the probability that A does not occur? Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) х 5 ? b.
Events A and B are independent. Suppose event A occurs with probability 0.26 and event B occurs with probability 0.91. a. If event A or event B occurs, what is the probability that A occurs? b. If event A occurs, what is the probability that B does not occur? Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) E X 5 ? b.
(1 point) A certain senior citizen purchases 51, "6-49" lottery tickets a week, where each ticket consists of a different six-number combination. The probability that this senior will win - (to win at least three of the six numbers on the ticket must match the six-number winning combination) on any ticket is about 0.018638. What probability distribution would be appropriate for finding the probability of any individual ticket winning? Part (a) How many winning tickets can the senior expect to...
1.9 The probability W(n) that an event characterized by a probability p occurs n times in N trials was shown to be given by the binomial distribution Consider a situation where the probability p is small (p « 1) and where one is interested in the case n < N. (Note that if N is large, W(n) becomes very small if n → N because of the smallness of the factor P" when p 《I. Hence W(n) is indeed only...
Question 10 (1 point) Every day, Jorge buys a lottery ticket. Each ticket has probability 0.20 of winning a prize. After 6 days, what is the probability that Jorge has won at least one prize? Write only a number as your answer. Round your answer to four decimal places (for example: 0.7319). Do not write as a percentage. Your Answer: Answer
Exercise 2. Consider n independent trials, each of which is a success with probability p. The random variable X, equal to the total number of successes that occur, is called a binomial random variable with parameters n and p. We can determine its expectation by using the representation j=1 where X, is a random variable defined to equal 1 if trial j is a success and to equal otherwise. Determine ELX
Problem 1 Consider a sequence of n+m independent Bernoulli trials with probability of success p in each trial. Let N be the number of successes in the first n trials and let M be the number of successes in the remaining m trials. (a) Find the joint PMF of N and M, and the marginal PMFs of N and AM (b) Find the PMF for the total number of successes in the n +m trials.
Problem 1 Consider a sequence...
Find the indicated probability. Round your answer to 6 decimal places when necessary. TWO "fair" coin are tossed. Let A be the event of number of tails equal 1 and be the event of getting head for the second coin. Find the probability that either A or B occurs A. 174 B. 1/2 OC1 OD. 3/4 QUESTION 13 Determine whether the events are dependent A dice get rolled 4 times. Are rolls dependent on each other? O A. True OB....