Martian potatoes start to grow rapidly subsequent to planting. Assume X is the quantity of days subsequent to planting until a Martian potato sprouts. At that point X has the accompanying likelihood thickness work: f(x)=

2/7ex

+

3/14ex/2

+

1/14ex/4

for

0 x

furthermore, 0 in any case.

g) What is the standard deviation of X?

h) What is the likelihood that X is in excess of 2 standard deviations over its normal worth?

I) What is the normal estimation of

X4

?

In an example of 100 steel wires the normal breaking strength is 52 kN, with a standard deviation of 2 kN.

Track down a 95% certainty span for the mean breaking strength of this sort of wire. Round the responses to three decimal spots.

1.The 95% certainty stretch is ( , ).

In an example of 100 steel wires the normal breaking strength is 52 kN, with a standard deviation of 2 kN.

Track down a 99% certainty stretch for the mean breaking strength of this sort of wire. Round the responses to three decimal spots.

2. The 99% certainty span is

In an example of 100 steel wires the normal breaking strength is 52 kN, with a standard deviation of 2 kN.

A designer guarantees that the mean breaking strength is between 51.7 kN and 52.3 kN. With what level of certainty can this assertion be made? Express the appropriate response as a percent and round to two decimal spots.

3. The degree of certainty is %.

The mean load of a fire subterranean insect laborer is 3.11 mg with a standard deviation of .49 mg. Assume we arbitrarily select 14 diverse fire subterranean insect laborers having loads F1, F2, , F14. Let S = F1 + F2 + ...+F14 and let M = S/14. This implies S is the example entirety and M is the example mean of the chose subterranean insect loads. (Note: arbitrary determination implies F1 F14 are autonomous.). Expect the Fis are typically conveyed.

d) What is the standard deviation of M?

e) What is the normal estimation of S-14*3.11?

f) What is the standard deviation of ZZ =

(S - 14*3.11)/(sqrt(14)*49

g) What is the likelihood that ZZ > 1?

h) What is the likelihood that ZZ < 0?

I) What is the change of 8ZZ?

j) What is the normal estimation of M - 3.11 ?

k) What is the standard deviation of

[(M - 3.11)/.49]/14

The mean load of a fire subterranean insect specialist is 3.11 mg with a standard deviation of .49 mg. The mean load of a craftsman insect specialist is 3.02 mg with a standard deviation of .35 mg. Leave F alone the weight, in mg, of an arbitrarily chosen fire insect specialist. Leave C alone the weight, in mg, of a haphazardly chosen woodworker subterranean insect laborer. It is realized that loads of all subterranean insects are ordinarily circulated. F and C are autonomous.

=20=

What is the likelihood that haphazardly chosen fire subterranean insect laborer weighs somewhere in the range of 2.95 and 3.07 mg.?

What is the 95th percentile of the dissemination of F?

What is the middle of the conveyance of F-C ?

What is the likelihood that both F and C are more prominent than 3 mg. ?

What is the likelihood that F is more prominent than C?