Q6/ Find the probabilities that a random variable having the standard normal distribution will take on a value

Q: True or False? The continuous random variable “years of education of 30-year-old employed women”…

A: A variable is a characteristic that is being measured.

Q: Let X distributed as a Normal random variable with a mean of 19 and a standard deviation of  4. A)…

A:

Q: Consider a random variable X that follows a uniform distribution with a= 1 and b = 4 Find the…

A: Answer: From the given data, X follows a uniform distribution, a = 1  and b = 4

Q: A Toronto Blue Jays baseball player is able to hit the ball for 74% of the pitches that the player…

A: It is given that 130 baseball pitches in a competition and 74% of the pitches that the player…

Q: Anticipated consumer demand in a restaurant for free -range steaks next month can be modeled by a…

A: Let X be the Anticipated consumer demand in a restaurant for free -range steaks next month can be…

Q: The number of sales in a day for a small company is a gamma random variable that has a distribution…

A: Introduction: The random variable, X representing the number of sales for a small company in a day,…

Q: How many standard deviations away from the mean is a CD player that lasts 8 years? What is the…

A: Given Information: Mean μ=7.1 Standard deviation σ=1.4

Q: A hybrid cars battery company produces batteries with mean life 100,000 Kilometers and standard…

A: Given : A hybrid cars battery company produces batteries with mean life 100,000 km and S.D 5000 km…

Q: Let y be a random variable having a normal distribution with a mean equal to 50 and a standard…

A: Let "y" be a random variable having a normal distribution.

Q: A population having normal distribution with mean of 50 and a standard deviation of 10. If a random…

A:

Q: Wild deer population weight has standard deviation of 50 lb. What is the probability of existence of…

A: Wild deer population weight has standard deviation of 50 lb.  Sample size, n = 100 x¯-μ=±5

Q: The producer of a weight loss pill advertises at people who use the pill, lose after one week and…

A: From the provided information, Population mean, μ = 1.75 pounds Population standard deviation, σ =…

Q: Suppose XX is a random variable that follows a chi-squared distribution with 3 degrees of freedom.…

A: Given that X follows Chi squared distribution with df = 3

Q: Let X be standard normal random variable. Let Y = IXI. What is the median of Y? What is P(1 <Y < 2)?…

A: Solution-:Let, X be the standard normal random variable.Let, Y=|Y|We want to find,(a) The median of…

Q: A continuous random variable X has normal distribution with mean 29 and standard deviation 10. What…

A:

Q: derive the variance of standard normal distribution using the MGF; show complete solution.

A: Given: random variable x follow standard normal distribution then derive the variance of standard…

Q: The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours…

A: Draw the normal curve and shade the area to the left of z=-0.75. Refer to Standard normal…

Q: If z is a standard normal variable, find the probability that z is less than − 2.08 ( round the…

A: Draw the normal curve and shade the area to the left of z=-2.08.

Q: About 8080​% of all female heart transplant patients will survive for at least 3 years.…

A: The objective of this question is to find the probability that the sample proportion of female heart…

Q: The time required to grade a single statistics exam is a random variable with a mean 9 min and…

A: Given information Mean = 9 minutes n = 36 standard deviation = 2 The distribution of ∑x is E(∑X) =…

Q: A random variable X following binomial distribution with, P=0.45 and n=100 Find the expected…

A: Answer: From the given data, X is a binomial random variable with parameters n = 100 and p = 0.45

Q: company manufactures resistors that have a mean resistance of An electronics 100ohms and a standard…

A:

Q: z is random variable with a standard normal distribution. what is the probability P(-1.15 <_ z <_…

A: Given that Z be a random variable with standard normal distribution To know the probability P(-1.15≤…

Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 9 minutes and a…

A:

Q: The yield in pounds from a day's production is normally distributed with a mean of 1500 pounds and…

A: The following information has been given: Let X be a normally distributed random variable that…

Q: A sum of the squared independent standard normal random variable follows what distribution.

A: Given sum of the squared independent standard normal random variable follows what distribution.

Q: What is the probability that a randomly chosen student has a height of more than 188.3 cm?

A: Let, X = height of male student  X follows Normal distribution with mean 174.5 cm and standard…

Q: Tire pressure monitoring system is war in the driver when the tire pressure of the vehicle is 28%…

A: A certain car has the tire pressure of 32 psi.

Q: If the probability that the random variable Z with a standard normal distribution is between the -k…

A: We know, Z follows standard normal distribution, therefore,…

Q: Assume that the square footage of a residential house in the US is normally distributed with a…

A: According to the given information in this question  We need to find the probability that it will be…

Q: A random variable X following binomial distribution with, P=0.32 and n=50 Find the expected value…

A: P=0.32 n=50 x~Binomial(n=50,p=0.32) P(X=x)=nx×px×(1-p)n-x   ; x=0,1,...,n