Question

Consider the following discrete probability distribution. x −30 −5 20 35 P(X = x) 0.53 0.17 0.12

a. Complete the probability distribution. (Round your answer to 2 decimal places.)

b. What is the probability that the random variable X is negative? (Round your answer to 2 decimal places.)

c. What is the probability that the random variable X is greater than −25? (Round your answer to 2 decimal places.)

d. What is the probability that the random variable X is less than 35? (Round your answer to 2 decimal places.)

Answer #1

Consider the following discrete probability distribution.
x
−15
−5
15
20
P(X = x)
0.52
0.13
0.16
.
Complete the probability distribution. (Round your
answer to 2 decimal places.)
P(X = 15)
c.
What is the probability that the random variable X is
positive? (Round your answer to 2 decimal
places.)
Probability
d.
What is the probability that the random variable X is
greater than −10? (Round your answer to 2...

The following table lists the probability distribution of a
discrete random variable x:
x = 0,1,2,3,4,5,6,7
P(x) = 0.04, 0.11, 0.18, 0.22, 0.12, 0.21, 0.09, 0.03
a. The probability that x is less then 5:
b. The probability that x is greater then 3:
c. The probability that x is less than or equal ti 5:
d. The probability that x is greater than or equal to 4:
e. The probability that x assumes a value from 2 to 5:...

A random variable X has the following discrete probability
distribution.
x
12
19
22
24
27
32
p(x)
0.13
0.25
0.18
0.17
0.11
0.16
Calculate σ = standard deviation of X (up to 2 decimal places).

Given the following discrete probability distribution, calculate
the variance of the random variable X. Round your answer to 2
significant places after the decimal.
x P(x)
-2 0.15
3 0.43
5 0.16
6 0.26

In the following probability distribution, the random variable
x represents the number of activities a parent of a
6th to 8th-grade student is involved in. Complete parts (a)
through (f) below.
x
0
1
2
3
4
P(x)
0.395
0.075
0.199
0.195
0.136
(a) Verify that this is a discrete probability
distribution.
This is a discrete probability distribution because the sum of
the probabilities is ___and each probability is ___ (Less than or
equal to 1; Greater than or equal...

Consider the discrete probability distribution below. Mean of
this discrete probability distribution is _____________. Round to
one decimal place.
x
P ( x )
1
0.22
2
0.27
3
0.30
4
0.21

1. A random variable X has a normal distribution with a mean of
75 and a variance of 9. Calculate P(60 < X < 70.5). Round
your answer to 4 decimal places.
2. A random variable X has a uniform distribution with a minimum
of -50 and a maximum of -20. Calculate P(X > -25). Round your
answer to 4 decimal places.
3.Which of the following statements about continuous random
variables and continuous probability distributions is/are TRUE?
I. The probability...

The random variable X follows a binomial distribution with n=20
and p=0.6.
a) What is the expected value of X? Your answer should be an
integer.
b)
What is the probability X equals 10? Include 4 decimal places in
your answer.
c)
What is the probability X is greater than 14? Include 4 decimal
places in your answer.
d)
What is the probability that X is no more than 11? Include 4
decimal places in your answer.
e)
What is...

Analyze the scenario and complete the following:
Complete the discrete probability distribution for the given
variable.
Calculate the expected value and variance of the discrete
probability distribution.
The value of a ticket in a lottery, in which 2,000 tickets are
sold, with 1 grand prize of $2,500, 10 first prizes of $450, 20
second prizes of $125, and 55 third prizes of $40.
i.
xx
0
40
125
450
2,500
P(x)P(x)
Round probabilities to 4 decimal places
ii.
E(X)E(X) =...

Consider the following cumulative probability
distribution.
x
0
1
2
3
4
5
P(X ≤ x)
0.10
0.29
0.48
0.68
0.84
1
a. Calculate P(X ≤ 2).
(Round your answer to 2 decimal places.)
b. Calculate P(X = 2).
(Round your answer to 2 decimal places.)
c. Calculate P(2 ≤ X ≤ 4).
(Round your answer to 2 decimal places.)

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