Question

If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases:

(a) ?=5, ?=0.6

?=

?2=

?=

(b) ?=6, ?=0.3

?=

?2=

?=

(c) ?=4, ?=0.7

?=

?2=

?=

(d) ?=3, ?=0.6

?=

?2=

?=

Answer #1

If x is a binomial random variable, compute the mean,
the standard deviation, and the variance for each of the following
cases:
(a)
n=4,p=0.7
μ=
σ2=
σ=
(b)
n=3,p=0.7
μ=
σ2=
σ=
(c)
n=5,p=0.4
μ=
σ2=
σ=
(d)
n=5,p=0.8
μ=
σ2=
σ=

if x is a binomial random variable, compute P(x) for each of the
following cases (record your answer to atleast 3 decimal
places):
(a) P(x≤1),n=3,p=0.5
P(x)=?
(b) P(x>4),n=8,p=0.6
P(x)= ?
(c) P(x<4),n=6,p=0.7
P(x)= ?
(d) P(x≥3),n=7,p=0.3
p(x)=?

) Find the mean, variance, and standard deviation for each of
the values of n and p when the conditions for the binomial
distribution are met. a. n =80 , p = 0.55 b. n = 200, p =0.15 c. n
= 15, p =0.7 d. n = 25, p =0.6 e. n = 700, p =0.3 f. n = 100, p=
34

Let
X have a normal distribution with mean 6 and standard deviation 3
1) Compute the probability that X>8.7 .
0-0.1
0.1-0.2
0.2-0.3
0.3-0.4
0.4-0.5
0.5-0.6
0.6-0.7
0.7-0.8
0.8-0.9
0.9-1
2) Compute the probability that X<0 .
0-0.1
0.1-0.2
0.2-0.3
0.3-0.4
0.4-0.5
0.5-0.6
0.6-0.7
0.7-0.8
0.8-0.9
0.9-1
3) Compute the probability that |X-6|>1.9 .
0-0.1
0.1-0.2
0.2-0.3
0.3-0.4
0.4-0.5
0.5-0.6
0.6-0.7
0.7-0.8
0.8-0.9
0.9-1

Find the mean and standard deviation for each binomial random
variable:
a. n = 40, ππ = .85 (Round your
mean value to 2 decimal places and standard deviation to 4 decimal
places.)
Mean
Standard deviation
b. n = 78, ππ = .65 (Round your
mean value to 2 decimal places and standard deviation to 4 decimal
places.)
Mean
Standard deviation
c. n = 30, ππ = .70 (Round your
mean value to 2 decimal places and standard deviation to...

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

Suppose that X is a random variable with mean 21 and standard
deviation 4 . Also suppose that Y is a random variable with mean 42
and standard deviation 8 . Find the mean of the random variable Z
for each of the following cases
(Give your answer to three decimal places.)
a) Z = 3 + 10X
b) Z = 3X − 10
c) Z = X + Y
d) Z = X − Y
e) Z = −4X...

i) A random variable X has a binomial distribution with mean 6
and variance 3.6: Find P(X = 4).
ii) Let X equal the larger outcome when a pair of four-sided
dice is rolled. The pmf of X is
f(x) = (2x - 1/ 16) ; x = 1; 2; 3; 4.
Find the mean, variance and standard deviation of X.
iii) Let μ and σ^2 denote the mean and variance of the random
variable able X. Determine E [(X...

Find the mean, the variance, and the standard deviation of the
given probability distribution.
The random variable X is the number of shoes sold by a retail
sales associate in a single month at the Shoe Stop
Alley.
x
P(x)
1
0.12
2
0.27
3
0.38
4
0.14
5
0.09
A. Can you determine based on the table above if it is a
probability distribution?
B. If it is, find the mean.
C. If it is, find the variance.
D.If...

In each of the following cases, find the mean, variance, and
standard deviation of the sampling distribution of the sample
proportion .
(a) p = .5, n = 259 (Round variance to 6 decimal places and
standard deviation to 4 decimal places. Do not round intermediate
values.)
(b)
p = .2, n = 124 (Round variance to 6
decimal places and standard deviation to 4 decimal places. Do not
round intermediate values.)
(c)
p = .8, n = 388
(Round...

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