Question 1

If X is a normal random variable with μ = 30 and σ = 5,determine the Z-value that corresponds to X = 28.

Accepted Answer

The answer of If X is a normal random variable...

Question 2

If the density function for the random variable X is f(x)=   
,
find k.

Accepted Answer

The answer of If the density function for the random...

Question 3

If Z is a standard normal variable,find   
such that P(-   
< Z <   
)= 0.823.

Accepted Answer

The answer of If Z is a standard normal variable,find...

Question 4

If X is normally distributed with μ = 100 and σ = 10,find P(X < 118).

Accepted Answer

The answer of If X is normally distributed with μ...

Question 5

If X is normally distributed with μ = 60 and σ = 5,find P(X > 72).

Accepted Answer

A)  0.0082 
B)  0.0123 
C)  0.2731 
D)  0.2968 
E)  0.4918 
A)  0.0082 
B)  0.0123 
C)  0.2731 
D)  0.2968 
E)  0.4918

Question 6

The random variable X has density function f(x)=   
Find μ and σ.

Accepted Answer

μ = @#IMG-DLM&_TB657

Question 7

Suppose X is uniformly distributed over the interval   .Find P(X > 5).

Accepted Answer

A)  03. 
B)  0.4 
C)  0.5 
D)  0.6 
E)  0.7 
A)  03. 
B)  0.4 
C)  0.5 
D)  0.6 
E)  0.7

Question 8

If Z has a standard normal distribution,find P(0 < Z < 1.48).

Accepted Answer

The answer of If Z has a standard normal distribution,find...

Question 9

If X is normally distributed with μ = 20 and σ = 5,find   such that P(X >  
)= 0.025.

Accepted Answer

A)  18.6 
B)  21.96 
C)  27.2 
D)  29.8 
E)  31.6 
A)  18.6 
B)  21.96 
C)  27.2 
D)  29.8 
E)  31.6

Question 10

If X is normally distributed with μ = 50 and σ = 8,find P(X ≤ 44).

Accepted Answer

The answer of If X is normally distributed with μ...

Question 11

If Z is a standard normal variable,find   
such that P( Z ≥   
)= 0.9918.

Accepted Answer

The answer of If Z is a standard normal variable,find...

Question 12

Suppose X is normally distributed with μ = 80 and σ = 15.Without using tables,approximate P(50 < X < 80).

Accepted Answer

The answer of Suppose X is normally distributed with μ...

Question 13

Suppose X is uniformly distributed over the interval   
.Find P(2 < X < 4).

Accepted Answer

The answer of Suppose X is uniformly distributed over the...

Question 14

If Z has a standard normal distribution,find P(-1 ≤ Z ≤ 2).

Accepted Answer

The answer of If Z has a standard normal distribution,find...

Question 15

Suppose X has a binomial distribution with n = 100 and p = 0.1.Using the normal approximation,find

Accepted Answer

A)  0.2033 
B)  0.2514 
C)  0.3128 
D)  0.3467 
E)  0.4126 
A)  0.2033 
B)  0.2514 
C)  0.3128 
D)  0.3467 
E)  0.4126

Question 16

If Z has a standard normal distribution,find P(Z > 0.12).

Accepted Answer

The answer of If Z has a standard normal distribution,find...

Question 17

If a fair coin is tossed 100 times,use the normal approximation to estimate the probability of getting at least 60 heads.

Accepted Answer

A)  0.0287 
B)  0.0228 
C)  0.0179 
D)  0.4713 
E)  0.5287 
A)  0.0287 
B)  0.0228 
C)  0.0179 
D)  0.4713 
E)  0.5287

Question 18

Suppose X has density function f(x)=   Find P(2 < X < 3).

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

If Z has a standard normal random variable and P(Z >   
)= 0.4539,

Accepted Answer

The answer of If Z has a standard normal random...

Question 20

The life expectancy (in years)of a keyboard is distributed exponentially with k =   
.If the keyboard's warranty lasts 2 years,what is the probability that a keyboard will break down after the warranty expires?

Accepted Answer

The answer of The life expectancy (in years)of a keyboard...

If X is a normal random variable with μ = 30 and σ = 5,determine the Z-value that corresponds to X = 28.

If the density function for the random variable X is f(x)= , find k.

If Z is a standard normal variable,find such that P(- < Z < )= 0.823.

If X is normally distributed with μ = 100 and σ = 10,find P(X < 118).

If X is normally distributed with μ = 60 and σ = 5,find P(X > 72).

The random variable X has density function f(x)= Find μ and σ.

Suppose X is uniformly distributed over the interval .Find P(X > 5).

If Z has a standard normal distribution,find P(0 < Z < 1.48).

If X is normally distributed with μ = 20 and σ = 5,find such that P(X > )= 0.025.

If X is normally distributed with μ = 50 and σ = 8,find P(X ≤ 44).

If Z is a standard normal variable,find such that P( Z ≥ )= 0.9918.

Suppose X is normally distributed with μ = 80 and σ = 15.Without using tables,approximate P(50 < X < 80).

Suppose X is uniformly distributed over the interval .Find P(2 < X < 4).

If Z has a standard normal distribution,find P(-1 ≤ Z ≤ 2).

Suppose X has a binomial distribution with n = 100 and p = 0.1.Using the normal approximation,find

If Z has a standard normal distribution,find P(Z > 0.12).

If a fair coin is tossed 100 times,use the normal approximation to estimate the probability of getting at least 60 heads.

Suppose X has density function f(x)= Find P(2 < X < 3).

If Z has a standard normal random variable and P(Z > )= 0.4539,

The life expectancy (in years)of a keyboard is distributed exponentially with k = .If the keyboard's warranty lasts 2 years,what is the probability that a keyboard will break down after the warranty expires?

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Exponential and Logarithmic Functions

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Introduction to Probability and Statistics

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Exam 17: Continuous Random Variables

If X is a normal random variable with μ = 30 and σ = 5,determine the Z-value that corresponds to X = 28.

If the density function for the random variable X is f(x)= , find k.

If Z is a standard normal variable,find such that P(- < Z < )= 0.823.

If X is normally distributed with μ = 100 and σ = 10,find P(X < 118).

If X is normally distributed with μ = 60 and σ = 5,find P(X > 72).

The random variable X has density function f(x)= Find μ and σ.

Suppose X is uniformly distributed over the interval .Find P(X > 5).

If Z has a standard normal distribution,find P(0 < Z < 1.48).

If X is normally distributed with μ = 20 and σ = 5,find such that P(X > )= 0.025.

If X is normally distributed with μ = 50 and σ = 8,find P(X ≤ 44).

If Z is a standard normal variable,find such that P( Z ≥ )= 0.9918.

Suppose X is normally distributed with μ = 80 and σ = 15.Without using tables,approximate P(50 < X < 80).

Suppose X is uniformly distributed over the interval .Find P(2 < X < 4).

If Z has a standard normal distribution,find P(-1 ≤ Z ≤ 2).

Suppose X has a binomial distribution with n = 100 and p = 0.1.Using the normal approximation,find

If Z has a standard normal distribution,find P(Z > 0.12).

If a fair coin is tossed 100 times,use the normal approximation to estimate the probability of getting at least 60 heads.

Suppose X has density function f(x)= Find P(2 < X < 3).

If Z has a standard normal random variable and P(Z > )= 0.4539,

The life expectancy (in years)of a keyboard is distributed exponentially with k = .If the keyboard's warranty lasts 2 years,what is the probability that a keyboard will break down after the warranty expires?

Review of Algebra

Applications and More Algebra

Functions and Graphs

Lines parabolas and Systems

Exponential and Logarithmic Functions

Mathematics of Finance

Matrix Algebra

Linear Programming

Introduction to Probability and Statistics

Additional Topics in Probability

Limits and Continuity

Differentiation

Additional Differentiation Topics

Curve Sketching

Integration

Methods and Applications of Integration

Multivariable Calculus

Filters