1. A card is picked at random 4 times in a standard deck of cards, with replacement. The success of showing a face card is recorded. Distribution Type: Binomial Probability Function Given: n= k=. to q = Formula: P (X = k) = „Ck pk qn - k a. Find the following: P(X = 0) = P(X = 1) = P(X= 2) = P(X= 3) = P(X= 4) = b. Construct the probability distribution. No. of Face Card (X) P(X) c. Create the histogram of the probability distribution. I| ||

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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1. A card is picked at random 4 times in a standard deck of cards, with replacement.
The success of showing a face card is recorded.
Distribution Type: Binomial Probability Function
Given:
n =
p =
k=_to
q =
Formula:
P(X = k) = „Cx pk qn - k
a. Find the following:
P(X= 0) =
P(X = 1) =
P(X= 2) =
P(X = 3) =
P(X = 4) =
b. Construct the probability distribution.
No. of Face
Card (X)
P(X)
c. Create the histogram of the probability distribution.
d. Find the mean, variance, and standard deviation.
Mean:
Variance:
Standard Deviation:
Transcribed Image Text:1. A card is picked at random 4 times in a standard deck of cards, with replacement. The success of showing a face card is recorded. Distribution Type: Binomial Probability Function Given: n = p = k=_to q = Formula: P(X = k) = „Cx pk qn - k a. Find the following: P(X= 0) = P(X = 1) = P(X= 2) = P(X = 3) = P(X = 4) = b. Construct the probability distribution. No. of Face Card (X) P(X) c. Create the histogram of the probability distribution. d. Find the mean, variance, and standard deviation. Mean: Variance: Standard Deviation:
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