Question

Assume that *x* has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)

*μ* = 8; *σ* = 2

*P*(7 ≤ *x* ≤ 11) =

Assume that *x* has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)

*μ* = 20; *σ* = 3.4

*P*(*x* ≥ 30) =

Answer #1

Solution :

Given that ,

mean = = 8

standard deviation = = 2

*(A)P*(7 ≤ *x* ≤ 11) = P[(7-8) /2 < (x -
) / < (11-8) /2 )]

= P( -0.5< Z <1.5 )

= P(Z <1.5 ) - P(Z <-0.5 )

Using z table

= 0.9332-0.3085

probability= 0.6247

(B)Solution :

Given ,

mean = = 20

standard deviation = = 3.4

P(x ≥ 30 ) = 1 - P(x<30 )

= 1 - P[ X - / / (30-20) /3.4 ]

= 1 - P(z <2.94 )

Using z table

= 1 - 0.9984

= 0.0016

probability= 0.0016

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 18; σ = 3.4
P(x ≥ 30) =

a. Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 15.5; σ = 4.5 P(10 ≤ x ≤
26) =
b. Now, assume that x has a normal distribution with
the specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.2; σ = 2.9 P(8 ≤
x ≤ 12) =
c. Now, assume...

a.) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4.4; σ = 2.2
P(3 ≤ x ≤ 6) =
b.) Consider a normal distribution with mean 34 and standard
deviation 2. What is the probability a value selected at random
from this distribution is greater than 34? (Round your answer to
two decimal places.)
c.) Assume that x has a normal...

1. Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.3; σ = 3.5
P(10 ≤ x ≤ 26)=?
2.Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 5.9; σ = 1.1
P(7 ≤ x ≤ 9)=?
3. Assume that x has a normal...

Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Enter a
number. Round your answer to four decimal places.) μ = 8; σ = 2 P(7
≤ x ≤ 11) =?

1.Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.) μ = 8; σ = 6 P(5 ≤ x ≤ 14)
=
2. Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.4; σ = 4.2
P(10 ≤ x ≤ 26) =
3. Assume that x has...

Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Round your
answer to four decimal places.) μ = 13.8; σ = 3.4
P(8 ≤ x ≤ 12) =

Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Enter a
number. Round your answer to four decimal places.) μ = 22; σ = 4.2
P(x ≥ 30) =

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 28; σ = 3.6
P(x ≥ 30) =

Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Enter a
number. Round your answer to four decimal places.) μ = 24; σ = 4.4
P(x ≥ 30) =

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 6 minutes ago

asked 13 minutes ago

asked 21 minutes ago

asked 28 minutes ago

asked 35 minutes ago

asked 49 minutes ago

asked 49 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago