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

1. A random variable X has a normal distribution with a mean of
75 and a variance of 9. Calculate P(60 < X < 70.5). Round
your answer to 4 decimal places.
2. A random variable X has a uniform distribution with a minimum
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answer to 4 decimal places.
3.Which of the following statements about continuous random
variables and continuous probability distributions is/are TRUE?
I. The probability...

Let x be a continuous random variable that is normally
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__________ 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
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Assume that x has a normal distribution, and find the indicated
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1) The mean is 15.2 and the standard deviation is 0.9. Find the
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2) Let x be a continuous random variable that follows a normal
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Find the value of x so that the area under the normal curve to the
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Please show all the...

Let x be a continuous random variable that has a normal
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Round your answer to four decimal places.

Let the random variable X follow a normal distribution with
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less than 4545. d. The probability is 0.30.3 that X is greater than
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Let the random variable X follow a normal distribution with μ =
60 and σ^2=64.
a.
Find the probability that X is greater than 70.
b.
Find the probability that X is greater than 45 and less than
74.
c.
Find the probability that X is less than 65.
d.
The probability is 0.2 that X is greater than what
number?
e.
The probability is 0.05 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
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four decimal places.)
P(z ≥ −1.24) =
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P(−1.78 ≤ z...

Let the random variable X follow a normal distribution with µ =
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less than 15.

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