1.- A random variable follows a binomial distribution with a probability of success equal to 0.72. For a sample size of n=12, find the values below.
a. the probability of exactly 5 successes
b. the probability of 6 or more successes
c. the probability of exactly 11 successes
d. the expected value of the random variable
a. The probability of exactly 5 successes is
(Round to three decimal places as needed.)
b. The probability of 6 or more successes is
(Round to three decimal places as needed.)
c. The probability of exactly 11 successes is
(Round to three decimal places as needed.)
d. The expected value of the random variable is
(Type an integer or a decimal. Do not round.)
2.- A restaurant in a fast food franchise has determined that the chance a customer will order a soft drink is 0.87. The probability that a customer will order a hamburger is 0.58. The probability that a customer will order french fries is 0.45. Complete parts a and b below.
a. If a customer places an order, what is the probability that the order will include a soft drink and no fries if these two events are independent? The probability is
(Round to four decimal places as needed.)
b. The restaurant has also determined that if a customer orders a hamburger, the probability the customer will order fries is 0.83. Determine the probability that the order will include a hamburger and fries.The probability is
(Round to four decimal places as needed.)
1)
1.- A random variable follows a binomial distribution with a probability of success equal to 0.72....
A restaurant in a fast food franchise has determined that the chance a customer will order a soft drink is 0.93. The probability that a customer will order a hamburger is 0.58. The probability that a customer will order french fries is 0.51. Complete parts a and b below. a. If a customer places an order, what is the probability that the order will include a soft drink and no fries if these two events are independent? b. The restaurant...
A random variable follows a binomial distribution with a probability of success equal to 0.64. For a sample size of n=9, find the values below. a. the probability of exactly 3 successes b. the probability of 6 or more successes c. the probability of exactly 9 successes d. the expected value of the random variable
A binomially distributed random variable has a probability of success equal to 0.72. For random samples of size 5200. Use the Normal approximation to calculate the probability that more than 3800 successes are observed. Don't forget to show continuity correction. Round to 4 decimals
Consider a binomial probability distribution with p=0.3 and n = 8. What is the probability of the following? b) exactly three successes less than three successes six or more successes a) P(x = 3) = b) P(x<3)= (Round to four decimal places as needed.) (Round to four decimal places as needed.) c) P(x26)= (Round to four decimal places as needed.)
Assume that a procedure yields a binomial distribution with 6 trials and a probability of success of 0.30. Use a binomial probability table to find the probability that the number of successes is exactly 6. LOADING... Click on the icon to view the binomial probability table. The probability that the number of successes is exactly 6 is nothing. (Round to three decimal places as needed.)
Assume that a procedure yields a binomial distribution with 5 trials and a probability of success of 0.30. Use a binomial probability table to find the probability that the number of successes is exactly 5. LOADING... Click on the icon to view the binomial probability table. The probability that the number of successes is exactly 5 is nothing. (Round to three decimal places as needed.)
Consider a binomial probability distribution with pequals=0.3 and nequals=8. What is the probability of the following? a) exactly three successes b) less than three successes c) sixsix or more successes a) Upper P left parenthesis x equals 3 right parenthesisP(x=3)equals=nothing (Round to four decimal places as needed.) b) Upper P left parenthesis x less than 3 right parenthesisP(x<3)equals=nothing (Round to four decimal places as needed.) c) Upper P left parenthesis x greater than or equals 6 right parenthesisP(x≥6)equals=nothing (Round to...
The answers are in red. Please do part a-c. Thanks! Consider a binomial probability distribution with p 0.3 and n 8. What is the probability of the following? a b) exactly three successes less than three successes six or more successes a) P(x 3) 0.2541 (Round to four decimal places as needed.) b) P(x 3)= 0.5518 (Round to four decimal places as needed.) c) P(x 6) 0.0113 (Round to four decimal places as needed.)
QUESTION 1 Consider a random variable with a binomial distribution, with 35 trials and probability of success equals to 0.5. The expected value of this random variable is equal to: (Use one two decimals in your answer) QUESTION 2 Consider a random variable with a binomial distribution, with 10 trials and probability of success equals to 0.54. The probability of 4 successes in 10 trials is equal to (Use three decimals in your answer) QUESTION 3 Consider a random variable...
help solve Given a population in which the probability of success is p=0.60 if a sample of 200 items is taken, then complete parts a and b. a Calculate the probability the proportion of successes in the sample will be between 0.58 and 0.63 b. Calculate the probability the proportion of successes in the sample will be between 0.58 and 0.63 if the sample size is 100. a. The probability the proportion of successes in the sample will be between...