Statistics and Probability Answers

In a certain fitness test for athletes, it is found that 25% of the athletes fail to complete the test. Of the next 15 athletes tested, find the probability that
a) from 3 to 6 fail
b) fewer than 4 fail
c) more than 5 fail
d) determine the mean and standard deviation

A. Suppose that a marksman hits the bull's eye 15000 times out of 50000 shots. If the next 4 shots are independent. Find the probability that:
(I)the next 4 hit the bull's eye
(Ii) two of the next shots hits the bull's eye

Suppose that the operation manager of computer package delivery service is contemplating
the purchase of a new fleet of trucks. When packages are efficiently stor ed in the trucks in
preparation for deliver y, two major constraints have to be considered. The weight in pounds
and volume in cubic feet for each item. Now suppose that in a sample of 200 packages the
average weight is 26.0pounds with a standard deviation of 3.9 pounds. In addition suppose
that the average volume for each of these packages is 8.8 cubic feet with standard deviation
of 2.2 cubic feet. How can we compare the variation of the weight and volume?

the marketing director of ghana dasco electronics was interested in studying the intention of consumers to purchase new large tv set in 2020 and as a follow-up, whether they in fact actually purchased the television. suppose that a sample of 1000 household was initially selected and the respondents were asked whether they planned to purchase a large dasco tv. twelve months later the same respondents were asked whether they actually purchased the television. the results are summarized in the table below no planned to purchase yes total yes 200 50 250 no 100 650 750 total 300 700 i. draw a tree diagram to represent the information in the table.

Planned to Purchase Yes No Total
Yes 200 50 250
No 100 650 750
Total 300 700
i. Draw a tree diagram to represent the information in the table.
ii. Find the probability of selecting a respondent who actually purchased a large television. Interpret your answer in a simple single sentence.
iii. Compute the marginal probability of planning to purchase a large television.
iv. Find the probability of panned purchase or actual purchase. v. Calculate the probability that a respondent actually purchased the large television given that he or she planned to purchase.

The marketing director of Ghana DASCO Electronics was interested in studying the intention of consumers to purchase new large TV set in 2020 and as a follow- up, whether they in fact actually purchased the television. Suppose that a sample of 1000 household was initially selected and the respondents were asked whether they planned to purchase a large DASCO TV. Twelve months later the same respondents were asked whether they actually purchased the television. The results are summarized in the table below
Planned to Purchase
Yes
No
Total
Yes
200
50
250
No
100
650
750
Total
300
700
i. Draw a tree diagram to represent the information in the table.
ii. Find the probability of selecting a respondent who actually purchased a large television. Interpret your answer in a simple single sentence.
iii. Compute the marginal probability of planning to purchase a large television.
iv. Find the probability of panned purchase or actual purchase.

The following table give the number of orders received for a sample of 30 hours at the Timesaver Mail Order Company.
34 44 31 52 41 47 38 35 32 39 28 24 46 41 49 53 57 33 27 37 30 27 45 38 34 46 36 30 47 50

Construct a frequency distribution table, calculate cumulative frequency for all classes and draw an ogive for the above distribution

Consider the 300 households surveyed in the DASCO Electronics example that actually
purchased a large screen Television. These respondents were asked to identity how the
purchased was transacted
Type of Purchase No. of Respondent
In store 183
Internet 87
Mail Order 30

Calculate the probability of picking a household that purchased the television via Internet or
by Mail order if the one respondent is randomly selected from a sample of 300 household.

five balls are placed at random in five buckets.What is the probability that bucket has a ball