### Determining chance and probability

Assignment Help Basic Statistics
##### Reference no: EM13100027

As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x be the finishing time for a finisher in the New York 10-km run.

a) What is the chance that finishers complete the run with the times between 50 and 70 minutes?

b) What is the chance that finishers complete the run with the times more than 75 minutes?

c) How fast would finishers have to complete the run among the top 5% finishers?

On average, 70 percent of the passengers on a flight from San Francisco to Boston prefer chicken to fish. Assume that the passengers have only one of two choices, chicken or fish for their meal. If there are 200 passengers on a flight and the airline carries 140 chickens and 60 fish dinners, what is the probability that more than five passengers will be disappointed?

### Write a Review

#### Finding standard deviation of even number

Fair die is rolled 10 times. Determine the probability that the odd number (1, 3 or 5) will occur less than 4 times?

#### Computing coefficient of determination

Write the regression equation approximately. Computed the coefficient of determination(r 2 ).

#### Percent difference between the two amounts

What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent)?

#### Probability of body temperature-standard deviation

Normal adult Mean Temperature is 98.2 and standard deviant is 0.62 with normal distribution. If 16 people are randomly selected determine the probability that their mean body temp is below 98.5 degrees.

#### Determining lowest weight a student

Determine the lowest weight a student can have and still be qualified to enter the school.

#### Calculations of bayes theorem

Experience has shown a company that the cost of delivering a small package within 24 hours is \$14.80. The company charges \$15.50 for shipment but guarantees to refund the charge if delivery is not made within 24 hours.

#### Population standard deviations-mean waiting time

Assume the population standard deviations are not the same. At the .05 significance level, is there a difference in the mean waiting time?

#### Association between two variables using chi-square

Calculate chi-square for the cross-tab. Show your work. Is there a statistically significant relationship between these variables?

#### Dewtermine the cost to fill the tank

The gas price index for 1985 was 218.5 and the gas price index for 2000 was 276.8. If it cost \$18.13 to fill your gas tank in 1985, how much would it have cost to fill the same tank in 2000?

#### Coefficient of determination between hours studied

For one of the first statistics exam, the coefficient of determination between hours studied and the grade earned was 80 percent. The standard error of estimate was 10.

#### Conditional and marginal probability

Find the probability that a women develops breast cancer given that she has a family history of breast cancer._____________

#### Range for the coefficient of determination

How do we use a least squares regression line? What is the range for the coefficient of determination? 