Question

Given the following probability distribution for the random variable X, find the value of k, then find the mean (expected value) of X. Do not round your answers. X = 0,1,2,3..... P(X=x) : k,.35,.2,.15

Answer #1

TOPIC:Pmf and mean of the discrete random variable.

Find the mean, variance, and standard deviation of the random
variable having the probability distribution given in the following
table. (Round your answers to four decimal places.)
Random variable, x
-7
-6
-5
-4
-3
P(X = x)
0.13
0.16
0.4
0.15
0.16

The probability distribution of a random variable X is
given.
x
−4
−2
0
2
4
p(X =
x)
0.2
0.1
0.3
0.2
0.2
Compute the mean, variance, and standard deviation of
X. (Round your answers to two decimal places.)
Find mean, variance, and standard deviation

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X<2), n=5 p=0.3

Find the indicated probability assuming that x is a random
variable with a normal distribution with the given mean and
standard deviation. (Round your answer to four decimal places.)
P(95 ≤ x ≤ 307), μ = 20, σ = 100

Suppose X is a random variable whose probability distribution is
given by the following table: X 0 2 4 6 P(X) 0.11 0.12 0.52 0.25
For each item below, write the capital letter which corresponds to
the correct value. Some letters may not be used and some letters
may be used more than once. • P(X is even)? • P(X < 4)? • P(X ≤
4)? • P(X 6= 2)? • P(X = 2 and X = 6)? • P(1...

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X≥10) P ( X ≥ 10 ) , n=14 , p=0.8

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X≤4), n=6, p=0.8

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X≥16), n=19, p=0.7

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X≥7), n=10, p=0.5

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X>4), n=7, p=0.4

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