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 ? is a binomial random variable, compute the mean, the
standard deviation, and the variance for each of the following
cases:
(a) ?=4,?=0.8
?=
?2=
?=
(b) ?=5,?=0.3
?=
?2=
?=
(c) ?=6,?=0.9
?=
?2=
?=
(d) ?=5,?=0.9
?=
?2=
?=

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 ?(?) for each of
the following cases:
(a) ?(?≤6),?=8,?=0.2
?(?)=
(b) ?(?>4),?=5,?=0.5
?(?)=
(c) ?(?<2),?=3,?=0.8
?(?)=
(d) ?(?≥5),?=9,?=0.6
?(?)=

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)=?

If x is a binomial random variable, compute P(x) for each of the
following cases:
(a) P(x≤4),n=6,p=0.9
P(x)=
(b) P(x>2),n=6,p=0.7
P(x)=
(c) P(x<2),n=3,p=0.1
P(x)=
(d) P(x≥1),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

If XX is a binomial random variable, compute the
probabilities for each of the following cases:
(a)
P(X≤1),n=9,p=0.3P(X≤1),n=9,p=0.3
Probability =
(b)
P(X>4),n=5,p=0.5P(X>4),n=5,p=0.5
Probability =
(c)
P(X<1),n=5,p=0.25P(X<1),n=5,p=0.25
Probability =
(d)
P(X≥3),n=6,p=0.25P(X≥3),n=6,p=0.25
Probability =

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

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