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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.4 - Problem 5e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.4 - Problem 5e

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# In a lab experiment involving inorganic syntheses of ISBN: 9780321923271 41

## Solution for problem 5E Chapter 2.4

Probability and Statistical Inference | 9th Edition

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Problem 5E

Problem 5E

In a lab experiment involving inorganic syntheses of molecular precursors to organometallic ceramics, the final step of a five-step reaction involves the formation of a metal–metal bond. The probability of such a bond forming is p = 0.20. Let X equal the number of successful reactions out of n = 25 such experiments.

(a) Find the probability that X is at most 4.

(b) Find the probability that X is at least 5.

(c) Find the probability that X is equal to 6.

(d) Give the mean, variance, and standard deviation of X.

Step-by-Step Solution:

Step 1 of 5

Here n=25,

p=0.2,

q=0.8

X~B(25,0.2)

The pmf of binomial distribution is P(x)=ncx px qn-x   ,x=1,2,3,....n

Step 2 of 5

Step 3 of 5

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In a lab experiment involving inorganic syntheses of