Question
In: Math
assume a normal distribution with a mean of 65 and standard deviation of 14 find P(56<X...
assume a normal distribution with a mean of 65 and standard deviation of 14 find P(56<X less than or equal to 68)
Solutions
Expert Solution
Solution:
Given: X ~ Normal 
Find:
Find z score for x = 56 and for x = 68
Thus we get:
Look in z table for z = 0.2 and 0.01 as well as for z = -0.6 and 0.04 and find corresponding area.
P( Z< 0.21 ) = 0.5832
and
P( Z <-0.64) = 0.2611
Thus
milcah answered 1 year agoRelated Solutions
A. Assume that x has a normal distribution with the specified mean and standard deviation. Find...
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 = 15.1; σ = 3.5
P(10 ≤ x ≤ 26) =
μ = 41; σ = 15
P(50 ≤ x ≤ 70) =
μ = 101; σ = 13
P(x ≥ 120) =
B.
A person's blood glucose level and diabetes are closely related.
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=
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
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Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the
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B) μ = 15.8; σ = 4.1
P(10 ≤ x ≤ 26) =
C) μ = 39; σ = 15
P(50 ≤ x ≤ 70) =
D) μ = 5.3; σ = 1.7
P(7 ≤ x ≤ 9) =
E) μ = 13.2; σ = 3.6
P(8 ≤ x...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
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
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μ = 4; σ = 2
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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.)
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(a) Assume that x has a normal distribution with the specified mean and standard deviation. Find...
(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 = 41; σ = 16
P(50 ≤ x ≤ 70) =
(b) 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 = 3.7
P(8 ≤ x ≤ 12) =
(c) Assume that x...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Round your
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Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
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specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 22; σ = 3.4
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.)
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A) Assume that x has a normal distribution with the specified mean and standard deviation. Find...
A)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability.
mean=101; standard deviation= 11
P(x > or = 120) = ?
B)
mean=2.6; standard deviation= 0.38
P(x > or = 2) = ?
C) Find z such that 2.6% of the standard normal curve lies to
the left of z.
z= ?
D) Find z such that 4.2% of the standard normal curve lies to
the right of z
z= ?...
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