Question

Suppose that x has a Poisson distribution with μ =
8. |

(a) |
Compute the mean, μ σ
_{x}.(Do not round your
intermediate calculation. Round your final answer
to 3 decimal places.) |

(b) |
Calculate the intervals [μ ] and [μ_{x} ±
3σ_{x} ]. Find the probability that _{x}x
will be inside each of these intervals. Hint: When
calculating probability, round up the lower interval to next whole
number and round down the upper interval to the previous whole
number. (Use the value for standard deviation from part
a. Round all your answers to 4 decimal places. Negative
amounts should be indicated by a minus sign.) |

Answer #1

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Suppose that
x has a Poisson distribution with μ = 19.
(a)
Compute the mean, μx, variance,
σ2x
, and standard deviation, σx.
(Do not round your
intermediate calculation. Round your final answer
to 3 decimal places.)
µx = ,
σx2 = , σx
=
(b)
Calculate the intervals [μx ±
2σx] and [μx ±
3σx ]. Find the probability that x
will be inside each of these intervals. Hint: When
calculating probability, round up the lower interval to next...

Suppose x has a distribution with μ = 12 and
σ = 8.
(a) If a random sample of size n = 34 is drawn, find
μx, σx
and P(12 ≤ x ≤ 14). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(12 ≤ x ≤ 14) =
(b) If a random sample of size n = 58 is drawn, find
μx, σx
and P(12 ≤ x ≤ 14). (Round
σx...

Suppose x has a normal distribution with mean μ = 45 and
standard deviation σ = 10.
Describe the distribution of x values for sample size n = 4.
(Round σx to two decimal places.)
μx =
σx =
Describe the distribution of x values for sample size n = 16.
(Round σx to two decimal places.)
μx =
σx =
Describe the distribution of x values for sample size n = 100.
(Round σx to two decimal places.)
μx...

Suppose x has a distribution with μ = 15 and
σ = 9.
(a) If a random sample of size n = 43 is drawn, find
μx, σx
and P(15 ≤ x ≤ 17). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(15 ≤ x ≤ 17) =
(b) If a random sample of size n = 67 is drawn, find
μx, σx
and P(15 ≤ x ≤ 17). (Round
σx...

Suppose x has a distribution with μ = 29 and
σ = 24.
(a)
If a random sample of size n = 31 is drawn, find
μx, σx
and P(29 ≤ x ≤ 31). (Round
σx to two decimal places and the
probability to three decimal places.)
μx=σx=P(29
≤ x ≤ 31)=
(b)
If a random sample of size n = 72 is drawn, find
μx, σx
and P(29 ≤ x ≤ 31). (Round
σx to two decimal places and...

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 = 21 and
σ = 15.
(a) If a random sample of size n = 36 is drawn, find
μx, σx
and P(21 ≤ x ≤ 23). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(21 ≤ x ≤ 23) =
(b) If a random sample of size n = 60 is drawn, find
μx, σx
and P(21 ≤ x ≤ 23). (Round
σx...

Suppose x has a distribution with μ = 19 and
σ = 15.
(a) If a random sample of size n = 45 is drawn, find
μx, σx
and P(19 ≤ x ≤ 21). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(19 ≤ x ≤ 21) =
(b) If a random sample of size n = 75 is drawn, find
μx, σx
and P(19 ≤ x ≤ 21). (Round
σx...

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 = 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 ≤...

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