Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) (a) b(5; 8, 0.3) 0.037 (b) b(6; 8, 0.55) X (c) P(3 ≤ x ≤ 5) when n = 7 and p = 0.65
Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) (a) b(5; 8, 0.3) 0.037 (b) b(6; 8, 0.55) X (c) P(3 ≤ x ≤ 5) when n = 7 and p = 0.65
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.)
(a) b(5; 8, 0.3)
0.037
(b) b(6; 8, 0.55)
X
(c) P(3 ≤ x ≤ 5) when n = 7 and p = 0.65
(d) P(1 ≤X) when n = 9 and p = 0.15
Expert Solution

Step 1: Define the formula of the pdf of the binomial distribution
Since you have posted a question with multiple sub-parts, we will solve first three sub-
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The formula of the pdf of the binomial distribution is,
Where,
p denotes the probability of success,
n denotes the sample size
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