Question

A random variable X has this normal distribution: X ~ N(26, 12).

Find the 60th percentile.

Answer #1

Let x be a continuous random variable that has a normal
distribution with μ=85 and σ=12. Assuming n/N ≤ 0.05, find the
probability that the sample mean, x¯, for a random sample of
18taken from this population will be between 81.7 and 90.4.
Round your answer to four decimal places.

Given a random variable X following normal distribution with
mean of -3 and standard deviation of 4. Then random variable
Y=0.4X+5 is also normal.
(1)Find the distribution of Y, i.e. μy,σy
(2)Find the probabilities P(−4<X<0),P(−1<Y<0)
(3)Find the probabilities(let n size =8)
P(−4<X¯<0),P(3<Y¯<4)
(4)Find the 53th percentile of the distribution of X

a.) Assume that x has a normal distribution. Find P(10 ≤ x ≤ 26)
given that μ = 14.9 and σ = 4.0. (Use 4 decimal places.)
b.) Let z be a random variable with a standard normal
distribution. Find P(–1.13 ≤ z ≤ 2.47). Use 4
decimal places.
c.) Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability that a value selected at
random from this distribution is greater than 25? (Use 2...

random variable x has a Normal distribution, N(75,25).
P(65<X<80) = ______________ .
Random variable Y has a Binomial Distribution, B(8, 0.5).
P(Y<5) = ______________ .
Let P(A)=0,6, P(B)=0.4, and P(A and B ) = 0.88, P(A and B) =
_____________ .
For events A,B, C, P(A)=0.2, P(B)=0.1, and P(C)=0.6, then what
is the range of P(A or B or C)? ___________ .

Problem 6. A random variable x has a Normal distribution with an
unknown mean and a standard deviation of 12. Suppose that we take a
random sample of size n = 36 and ﬁnd a sample mean of "x-bar" = 98.
What is a 95% conﬁdence interval for the mean of x?

X follows a normal distribution with mean=10 and sd=2,
find
a. the 30th percentile
b. P(9<X<12)

Suppose X has a normal distribution with mean 115 and variance
25. Find the 67th percentile of the distribution of X.

Suppose X has a normal distribution with mean 120 and variance
36. Find the 67th percentile of the distribution of X.

The random variable x has a normal distribution with mean 23 and
standard deviation 5.
Find the value d such that P(20<X<d)=0.4641

Suppose X has a normal distribution with mean 115 and variance
25. Find the 67th percentile of the distribution of X.
Group of answer choices
117.2
136
134.8
131.425

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