Statistics and Probability Answers

In continuation with the data of performance scores of employees in previous example, perform the following:
a. Calculate the range and inter-quartile range
b. Calculate the z scores
c. Calculate the skewness and Kurtosis (using excel)
d. Comment on the distribution of the data
table below
52 33 70 95 57 61 47 60 57 64 54 94 38 61 89 48 50 39 94 63 59 31 88 46 68 88 93 48 82 82 72 73 74 70 92 76 98 91 80 68 32 33 31 75 54 48 62 53 36 64 63 66 92 98 91 42 36 54 71 86 84 55 33 43 91 34 64 67 89 78 47 62 97 92 53 56 68 55 36 67 93 42 51 77 36 93 51 66 44 66 63 33 68 79 92 76 83 53 86 76 35 40 43 46 55 41 36 39 42 96 42 77 60 53 38 51 95 56 93 63 48 69 49 33 95 37 83 64 83 62 96 34 85 32 40 85 39 59 77 62 35 34 39 92 54 89 36 45 83 34 86 90 39 61 88 86 55 33 77 40 69 54 30 38 79 77 44 59 95 34 38 91 80 90 58 40 88 45 95 71 80 43 89 53 61 40 31 61 58 53 88 94 91 63 60 94 98 53 53 45 50 34 75 74 90 98 87 66

The number of traffic accidents per week in a small city has a poisson distribution with mean equal to 3 what is the mean in 3 weeks?

Let A and B be two events with P(A)=0.5, P(B)=0.4, P(A ∩ B')=0.2. Find P(B'/A U B).

A person has blue brown r green eyes .The probabilty of blue eyes is0.4The probabilty of brown eyez is 0.5 The probabilty of green eyez is 0.1.Two people chosen at random find probabilty
1)have blue eyez
2)have different coloured eyez

Suppose ARB Bank is reviewing its service charges and interest payment policies on current accounts. Suppose further that ARB has found that the average daily balance on personal current accounts is GH¢350.00, with a standard deviation of GH¢160.00. In addition, the average daily balances have been found to follow a normal distribution;
What percentage of customers carries a balance of GH¢100 or lower?
What percentage of customers carries a balance of GH¢500 or lower?
What percentage of current account customers carries average daily balances exactly equal to GH¢500?
What percentage of customers maintains account balance between GH¢100 and GH¢500?

A research was conducted to estimate the proportion of ARB Bank customers who could recognize the existing Government Treasury Bill investment product and the flagship investment product of the bank. Out of a sample of 3000 customers, 1200 were able to recognize the existence of the Government Treasury Bill, whilst 800 out of the 3000 sample were also able to recognize the existence of the bank’s flagship investment product.
Using 95% degrees of confidence,
Construct the confidence interval for the difference between two population proportions.
Construct the confidence interval for the difference between two population percentages.

A sample of 500 nursing application included 60 men. Find the 90% confidence interval for the true proportion of men who applied for the nursing program

A supervisor has determined that the average salary of the employees in his department $40,000 with a standard deviation of $15,000. Assume that the distribution of the salaries is normally distributed. An employee is selected at random, find the probability that the employee’s salary is:

(i) More than $35,000.
(ii) Between $36,000 to $42,000.

Find the lowest height among the tallest 5 students in a class with given mean 165cm and SD of the normal distribution is 25 cm.

The Department of Labor and Employment (DOLE) found that 83% of the Filipinos think that having a college education is important to succeed in life. If a ramdom sample of seven(7) Filipinos is selected, find the probability that the exactly four (4) people will agree with that statement (use Binomial Distribution