Question

Suppose *x* has a distribution with *μ* = 21 and
*σ* = 15.Find *P*(17 ≤ *x* ≤ 22)

Answer #1

Given that,

mean = = 21

standard deviation = = 15

P (17 x 22 )

P ( 17 - 21 / 15) ( x - / ) ( 22 - 21 / 15)

P ( - 4 / 15 z - 1 / 15 )

P (-0.27 z < - 0.07)

P ( z - 0.07 ) - P ( z -0.27)

Using z table

= 0.4721 - 0.3936

= 0.0785

Probability = 0.0785

Suppose x has a distribution with μ = 19 and σ = 15. (a) If a
random sample of size n = 48 is drawn, find μx, σ x and P(19 ≤ x ≤
21). (Round σx to two decimal places and the probability to four
decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (b) If a random sample
of size n = 58 is drawn, find μx, σ x and P(19 ≤ x ≤...

Suppose x has a distribution with μ = 80 and
σ = 11.
Find P(76 ≤ x ≤ 81). (Round your answer to
four decimal places.)

Suppose x has a distribution with μ = 84 and
σ = 11.
Find P(80 ≤ x ≤ 85). (Round your answer to four
decimal places.)

Suppose x has a distribution with μ = 23 and σ = 15.
(a) If a random sample of size n = 32 is drawn, find μx, σ x and
P(23 ≤ x ≤ 25). (Round σx to two decimal places and the probability
to four decimal places.) μx = σ x = P(23 ≤ x ≤ 25) =
(b) If a random sample of size n = 73 is drawn, find μx, σ x and
P(23 ≤ x ≤...

Suppose x has a distribution with μ = 25 and
σ = 22.
(a) If a random sample of size n = 40 is drawn, find
μx, σx
and P(25 ≤ x ≤ 27). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(25 ≤ x ≤ 27) =
(b) If a random sample of size n = 56 is drawn, find
μx, σx
and P(25 ≤ x ≤ 27). (Round
σx...

Suppose x has a distribution with μ = 22 and
σ = 18.
(a) If a random sample of size n = 35 is drawn, find
μx, σx
and P(22 ≤ x ≤ 24). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(22 ≤ x ≤ 24) =
(b) If a random sample of size n = 60 is drawn, find
μx, σx
and P(22 ≤ x ≤ 24). (Round
σx...

Suppose x has a distribution with μ = 11 and σ = 9.
(a) If a random sample of size n = 48 is drawn, find μx, σ x and
P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability
to four decimal places.)
μx =
σ x =
P(11 ≤ x (x bar) ≤ 13) =
(b) If a random sample of size n = 63 is drawn, find μx, σ x and
P(11 ≤...

Suppose x has a distribution with μ = 29 and σ = 25.
(a) If a random sample of size n = 41 is drawn, find μx, σ x
and P(29 ≤ x ≤ 31). (Round σx to two decimal places and the
probability to four decimal places.)
μx =
σ x =
P(29 ≤ x ≤ 31) =
(b) If a random sample of size n = 71 is drawn, find μx, σ x
and P(29 ≤ x ≤...

Q2. Given a normal distribution with μ = 30 and σ =
6,
find
1- the normal curve area to the right of x = 17 [Hint:
P(X>17)]
2-the normal curve area to the left of x = 22 [Hint:
P(X<22)]
3-the normal curve area between x = 32 and x =
41[Hint: P(32<X<41)];
4-the value of x that has 80% of the normal curve area
to the left [Hint: P(X<k)=0.8];

Suppose x has a distribution with μ = 24 and
σ = 11.
1. If random samples of size n = 16 are selected, can
we say anything about the x distribution of sample
means?
2. If the original x distribution is normal, can
we say anything about the x distribution of random samples
of size 16?
3. Find P(20 ≤ x ≤ 25). (Round your answer to
four decimal places.)
___________________

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