1. Fill in the table and find the mean, variance, and standard deviation of the
ID: 3046716 • Letter: 1
Question
1. Fill in the table and find the mean, variance, and standard deviation of the probability distribution for the number of birds in a small community. (5 pts) Birds | Probability-P(x) P(x) | | | x- (x-p)2 P(x)(x-p? (Round answer to 3 decimal places) 201 .137 .007 4 Mean Variance Standard Deviation 2. Sixty five percent of adults trust national newspapers to present the news fairly. You randomly select eight adults. Find the probability that the number of adults who trust national newspapers to present the news fairly is exactly 4. (4 pts)Explanation / Answer
Sum (xP(x)) = 0.841
mean = 0.841
variance = sum of
=
standard deviation = sqrt (
0.978449945)
=
0.989166
2. p = 0.65
n=8
X = random variable denoting the number of persons trust national newspapaers.
X follows binomial distribution.
P{X=4}
= 8C4* 0.654 *(1-0.65)4
= 0.18750965898
Birds P(x) xP(x) x-µ (x-µ)^2 P(x)(x-µ)^2 2 0.201 0.402 1.159 1.343281 0.269999481 3 0.137 0.411 2.159 4.661281 0.638595497 4 0.007 0.028 3.159 9.979281 0.069854967Related Questions
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