Question

Use the binomial formula to calculate the following probabilities for an experiment in which n = 5 and p = 0.75. a. the probability that x is at most 1 b. the probability that x is at least 4 c. the probability that x is less than 1 a. The probability that x is at most 1 is .0059. (Round to four decimal places as needed.)

          Use the binomial formula to calculate the following probabilities for an experiment in which n = 5 and p = 0.75.
a. the probability that x is at most 1
b. the probability that x is at least 4
c. the probability that x is less than 1
a. The probability that x is at most 1 is .0059. (Round to four decimal places as needed.)

Use the binomial formula to calculate the following probabilities for an experiment in which n = 5 and p = 0.75.
a. the probability that x is at most 1
b. the probability that x is at least 4
c. the probability that x is less than 1
a. The probability that x is at most 1 is .0059. (Round to four decimal places as needed.)

Added by Robert P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert T. L.

02/14/2023

Step 1

Using the binomial formula, the probability that x is at most 1 can be calculated as follows: P(x ≤ 1) = P(x=0) + P(x=1) P(x=0) = (5 choose 0) * (0.75)^0 * (0.25)^(5-0) = 1 * 1 * 0.25^5 = 0.00098 P(x=1) = (5 choose 1) * (0.75)^1 * (0.25)^(5-1) = 5 * 0.75 * 0.25^4 Show more…

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Use the binomial formula to calculate the following probabilities for an experiment in which n=5 and p=0.75. a. the probability that x is at most 1 b. the probability that x is at least 4 c. the probability that x is less than 1 a. The probability that x is at most 1 is .0059 . (Round to four decimal places as needed.) Use the binomial formula to calculate the following probabilities for an experiment in which n=5 and p=0.75 a.the probability that x is at most 1 b.the probability that x is at least 4 c.the probability thatx is less than 1 aThe probability that x is at most 1 is0059(Round to four decimal places as needed.)