Question

**1) let X be a continuous random
variable that has a normal distribution with a mean of 40 and a
standard deviation of 5. Find the probability that X
assumes a value:**

** a. between 32 and
35 b. between 41 and 50**

** c. greater than
43 d. less than 49**

Answer #1

Let x be a continuous random variable that is normally
distributed with mean 73 and std. deviation 14. Sketch & shade
the curves and find the probabilities that x assumes a value:
a. less than 51
b. greater than 72

__________ For a continuous random variable x, the area
under the probability distribution curve between any two x-values
is always _____.
Greater than 1 B) less than
zero C) equal to 1 D) in the
range zero to 1, inclusive
_________For a continuous random variable x, the total
area under the probability distribution curve of x is always
______?
Less
than1 B)
greater than
1
C) equal to
1
D) 0.5
___________ The probability that a continuous random
variable x...

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0.4004. Find the probability that a value in the distribution is
less than 47.
2. A continuous random variable is normally distributed. The
probability that a value in the distribution is less than 125 is
0.5569. Find the probability that a value in the distribution is
greater than 125.
3. A random variable is normally distributed with mean 89.7...

Assume that x has a normal distribution, and find the indicated
probability.
1) The mean is 15.2 and the standard deviation is 0.9. Find the
probability that x is greater than 17.
2) Let x be a continuous random variable that follows a normal
distribution with a mean of 17.3 and a standard deviation of 3.2.
Find the value of x so that the area under the normal curve to the
left of x is .500.
Please show all the...

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.

Let the random variable X follow a normal distribution with
muμequals=4040 and sigmaσ2equals=6464. a. Find the probability that
X is greater than 5050. b. Find the probability that X is greater
than 2020 and less than 5252. c. Find the probability that X is
less than 4545. d. The probability is 0.30.3 that X is greater than
what number? e. The probability is 0.070.07 that X is in the
symmetric interval about the mean between which two numbers?

A: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≤ 1.11) =
B: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≥ −1.24) =
C: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−1.78 ≤ z...

Let the random variable X follow a normal distribution with µ =
19 and σ2 = 8. Find the probability that X is greater than 11 and
less than 15.

Let the random variable X follow a normal distribution with µ =
18 and σ2 = 11. Find the probability that X is greater than 10 and
less than 17.

Let the random variable X follow a Normal distribution with
variance σ2 = 625.
A random sample of n = 50 is obtained with a sample mean, X-Bar
of 180.
What is the probability that μ is between 198 and 211?
What is Z-Score1 for μ greater than 198?

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