Scores for a typical normalized school fitness test are regularly disseminated with a mean of 502 and a standard deviation of 109. Arbitrarily chose men are given a Test Prepartion Course prior to stepping through this examination. Accept, for purpose of contention, that the test has no impact.

In the event that 1 of the men is arbitrarily chosen, discover the likelihood that his score is at any rate 558.6.

P(X > 558.6) =

Enter your answer as a number precise to 4 decimal spots. NOTE: Answers got utilizing accurate z-scores or z-scores adjusted to 3 decimal spots are acknowledged.

In the event that 12 of the men are haphazardly chosen, discover the likelihood that their mean score is at any rate 558.6.

P(M > 558.6) =

Enter your answer as a number exact to 4 decimal spots. NOTE: Answers got utilizing definite z-scores or z-scores adjusted to 3 decimal spots are acknowledged.

In the event that the arbitrary example of 12 men does bring about a mean score of 558.6, is there solid proof to help the case that the course is really viable?

No. The likelihood shows that is conceivable by chance alone to arbitrarily choose a gathering of understudies with a mean as high as 558.6.

Indeed. The likelihood shows that is (profoundly ?) improbable that by some coincidence, a haphazardly chosen gathering of understudies would get a mean as high as 558.6.

An organization produces steel poles. The lengths of the steel poles are regularly appropriated with a mean of 219.1-cm and a standard deviation of 2.5-cm. For shipment, 12 steel bars are packaged together.

Discover the likelihood that the normal length of a haphazardly chosen heap of steel poles is more prominent than 220.4-cm.

P(M > 220.4-cm) =

Enter your answer as a number exact to 4 decimal spots. Answers acquired utilizing definite z-scores or z-scores adjusted to 3 decimal spots are acknowledged.

In a study of 400 individuals from a nearby games club, 200 individuals demonstrated that they intend to go to the following Summer Olympic Games, 120 showed that they intend to go to the following Winter Olympic Games, and 80 demonstrated that they intend to go to the two games. The number of individuals from the club intend to join in

(a) At least one of the two games?

(b) Exactly one of the games?

(c) The Summer Olympic Games as it were?

(d) None of the games?

The Hoylake Rescue Squad gets a crisis call each 1, 2, 3, 4, 5, or 6 hours, concurring

to the accompanying likelihood dispersion. The crew is on the job 24 hours out of every day, 7 days

each week:

Time Between

Crisis Calls (hr.) Probability

1 .05

2 .10

3 .30

4 .30

5 .20

m10m

6 .05

1.00 what number calls were made during the 3-day time frame? Can you sensibly expect that this is

a normal number of calls each 3-day time span? If not, how is it possible that you would reproduce to decide

a particularly normal?