hown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes.   n=4 and p=0.7   a. Determine ​P(X=2​) using the binomial probability formula. b. Determine ​P(X=2​) using a table of binomial probabilities. Compare this answer to part​ (a).   Click here for the binomial probability table. LOADING...       Question content area bottom Part 1 a. Using the binomial​ formula, ​P(X=2​) is enter your response here. ​(Round to three decimal places as​ needed.) Part 2 b. Using the binomial probability​ table, ​P(X=2​) is enter your response here. ​(Round to three decimal places as​ needed.) Part 3 Compare this result to the probability found in part​ (a). Choose the correct answer below.     A. The probability from part​ (a) is much larger than the probability from part​ (b).   B. The probability from part​ (b) is much larger than the probability from part​ (a).   C. The two probabilities are approximately equal at 3 decimal places.   D. The two probabilities are exactly equal at 3 decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Shown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes.
 
n=4
and
p=0.7
 
a.
Determine
​P(X=2​)
using the binomial probability formula.
b.
Determine
​P(X=2​)
using a table of binomial probabilities. Compare this answer to part​ (a).
 
Click here for the binomial probability table.
LOADING...
 
 
 

Question content area bottom

Part 1
a.
Using the binomial​ formula,
​P(X=2​)
is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 2
b.
Using the binomial probability​ table,
​P(X=2​)
is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 3
Compare this result to the probability found in part​ (a). Choose the correct answer below.
 
 
A.
The probability from part​ (a) is much larger than the probability from part​ (b).
 
B.
The probability from part​ (b) is much larger than the probability from part​ (a).
 
C.
The two probabilities are approximately equal at 3 decimal places.
 
D.
The two probabilities are exactly equal at 3 decimal places. 
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