. Suppose that X is a binomial random variable with n = 200 and p = 0.4. Find the probability PCX< 70) based on the corresponding binomial distribution and approximate normal distrībution. Is the normal approximation reasonable?

Q: Consider a normally distribr deviation of 10. Find P(90<

A: mean =85 standard deviation =10 to find P(90&lt;X&lt;100)

Q: A random variable X follows a Normal Distribution with a mean of 5. It would be logical to say that…

A: It is given than the random variable X follows normal distribution with mean 5, and the objective is…

Q: If Z denotes the standard normal random variable , then  P( -.58 &lt; Z &lt; .23) ?

A: The z-score is the number of standard deviations by which an event is occurring is over the mean…

Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…

A: Assuming that the probability of vaccine effect on each individual to be p=0.8 then assuming X is…

Q: Consider the continuous normal random variable, X = {a typical customer’s expenditure at Baby-Toy…

A: Let the typical customer expenditure at Toy store be X. The mean and standard deviation of the…

Q: If Z is a random variable from a standard normal distribution and if P(Z<a)=0.42, then P(Z<-a)=0.58.…

A: If Z is a random variable from a standard normal distribution and if P(Z&lt;a)=0.42, then…

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, a = 1  and b = 4 X follows uniform distribution,

Q: Let Z be a standard normal random variable. Calculat (a) Pr(-1.3 < Z < 0) (b) Pr(.25 s Z)

A:

Q: If a random variable X has the normal distribution with mean 9 and standard deviation 2, about what…

A: Given data, mean=9 sd=2 P(X&lt;5)=?

Q: for a normally distributed random variable X with mean of 177.15 and standard deviation of 4.95 a…

A: It is given that the mean is 177.15 and the standard deviation is 4.95.

Q: If Z is a random variable from a standard normal distribution and if P(Z < d) = 0.77, then P(Z < -…

A: Given that P(Z&lt;d)=0.77P(Z&lt;-d)=0.23 Consider,        P(Z&lt;d)=0.771-P(Z≥d)=0.77…

Q: Assume the random variable x is normally distributed with mean u=80 and standard deviation =5. Find…

A: Given that: X is normal Distributed with mean µ = 80.0 and standard deviation σ = 5.0 now will using…

Q: Suppose that Z is a normal random variable. Fine P(Z>1.91).

A: Solution:- from given information Suppose that Z is a normal random variable

Q: Let X be a discrete random variable with Poisson distribution, and with a standard deviation of 6.5.…

A:

Q: If X represents a random variable coming from a normal distribution and P(X 6.5) = 0.59. True O…

A: It is given that P(X&lt;6.5)=0.41.

Q: Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.67…

A: Given that,The random variable Z follows a standard normal distribution.

Q: In a certain population of people, the chance of a person having a fatality is 2.7% and this is…

A: Given information- We have given that the chance of a person having a fatality is 2.7%. P = 0.027…

Q: Suppose that a random variable z has a standard normal distribution. Use a standard normal table…

A:

Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X> 6) = 0.4…

A: The mean is 5.

Q: Suppose X is a random variable with standard normal distribution. And P(X>k)=0.8413 Find the value…

A: The random variable X follows standard normal distribution. It is given that, PX&gt;k=0.8413. Now,…

Q: suppose a random variable X follows a binomial distribution with parameters n=70 and p=0.60.use the…

A: Given The data is as follows: X~Bn=70, p=0.60

Q: Let Z denote the standard normal random variable, ?(−.54<?≤.78)is closest to

A:

Q: If Z is a standard normal random variable, then what is the probability that Z&gt; 1.5 or Z&lt;…

A:

Q: If Z is a standard normal random variable, then P(-1.25<= Z <= -0.75)

A: Given that, Z scores are -1.25 and -0.75

Q: Suppose that a random variable z has a standard normal distribution. Use a standard normal table…

A:

Q: Let x be a normal random variable with its mean equal to 75 and standard deviation equal to 8. Find…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: If the random variable X has a normal distribution with mean = 48 and standard deviation = 18, then…

A: Given that µ=48 σ=18

Q: In a normal distribution for any normal random variable X, the probability that X is more than three…

A: GIven: x~Normal distribution(μ,σ)

Q: Let x be a normal random variable with its mean equal to 75 and standard deviation equal to 8. Find…

A: