We toss n coins, and each one shows heads with probability p, independently of each of the others. Each coin which shows heads is tossed again. What is the mass function of the number of heads resulting from the second round of tosses?
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- In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pas or fail. Assume that the probability that a wafer passes the test is 0.6 and that wafers are independent. Determine the probability mass function of the number of wafers from a lot that pass the test. Round your answers to three decimal places (e.g. 98.765). P(X = 0) = i P(X = 1) = i P(X = 2) = i P(X = 3) = iA tour guide is in charge of overseeing groups of 3 visitors during the trip. There is a probability of 2/3 that a visitor in the group will ask the tour guide a question. The tour guide has been asked by the bus driver to make a hypothesis about the number of questions the next group will ask. 1. Write the table and formula (if any) of the probability mass function for the number of questions asked by the group of 3.2. How many questions should the tour guide expect, and what is the standard deviation?Fifty people were asked how much they paid for the last smartphone app they purchased. These data were collected. Let the random variable X be the price paid for the app, and let f(x)=P(X=x) be the probability mass function based on the result of this survey. Answer parts a through e below. a) Write f as a set of ordered pairs. f= (Type an ordered pair, using integers or decimals. Use a comma to separate answers as needed. Do not include the $ symbol in your answer.) Draw the probability distribution as a histogram. Choose the correct histogram below. A. 0.41% 0.2 Hum 1234567 X=x Q Q 2 b) Find the cumulative probability function F. c) Find f(5). f(5)= (Type an integer or a decimal.) What does f(5) represent? O A. The probability that a randomly selected person paid more than $5 for an app OB. The probability that a randomly selected person did not pay $5 for an app O C. The probability that a randomly selected person paid at least $5 for an app OD. The probability that a randomly…
- Calculate the probability that in i consecutive rolls of the same die, a six is not rolled twice in row and a six is rolled on the last roll.Calculate each Poisson probability: a. P(X= 6), A =7 (Round your answer to 4 declmal places.) Probability b. P(X= 11), A = 10 (Round your answer to 4 declmal places.) Probability c. P(X= 2). A = 9 (Round your answer to 4 declmal places.) ProbabilitySolve it soon
- Assume that the batter hits with probability 0.2 against left-handed pitchers, and with probability 0.3 against right-handed pitchers. Both situations are Bernoulli processes. One month the player bats 22 times against left-handed pitchers and 52 times against right-handed pitchers. How many hits should the batter expect to get during this month?A committe of size 3 to be selected at random from 4 chemists and 5 physicists , Find the probability that : E (x)=? а- 16/9 b- 15/9 с-3/4 d- 8/7 e- 4/3Fifty people were asked how much they paid for the last smartphone app they purchased. These data were collected. Let the random variable X be the price paid for the app, and let f(x)=P(X=x) be the probability mass function based on the result of this survey. Answer parts a through e below. a) Write f as a set of ordered pairs. (Type an ordered pair, using integers or decimals. Use a comma to separate answers as needed. Do not include the $ symbol in your answer.) Draw the probability distribution as a histogram. Choose the correct histogram below. OA OB. OC. Q Q Q Q Q Q b) Find the cumulative probability function F Price, x $1.00 $2.00 $3.00 $4.00 $5.00 $6.00 $7.00 OD. F(x)= (Type integers or decimals) c) Find f(4). f(4) = (Type an integer or a decimal.) What does f(4) represent? O A. The probability that a randomly selected person did not pay $4 for an app OB. The probability that a randomly selected person paid $4 for an app OC. The probability that a randomly selected person paid…