Statistics and Probability Answers

Column1 Column2 Column3 Column4 Column5 Column6

Choice of Breakfast North South East West Total

Cereals 39 18 20 40 117

Dosa/ idli 20 55 14 12 101

Eggs 22 15 40 15 92

Poha 19 12 26 33 90

Total 100 100 100 100 400

a. What is the probability of a person eating dosa given he is from north?

b. What is the probability of a person from south or eating egg?

c.What is the probability of a person eats poha, given he is from West?

d. .What is the probability of a person who is from West and choice is cereals?

e.What is the probability of a person who is from east and prefers eggs for breakfast?

Table 4 shows the selling price of three different brands of sanitizer at based on 4 randomly selected supermarkets. At 80% confidence level, can we conclude there is a significant difference in mean price of the three brands of sanitizer? Make your conclusion using the p- value approach, with the aid of Mic. Office EXCEL.

You are required to construct 90% confidence interval for mean life time of tyres from a sample of 250 tyres whose mean is found to be 35,290kms. The population standard deviation is 1024 kms.

What is the probability that a randomly chosen female has height between 145 and 157 cm?

A manufacturer who produces medicines bottles finds that 0.1% of the bottles are defective. The bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from producer of bottles. Using possion distribution, how many bottles will contain

(1) no defectives (2) at least two defectives

As a researcher , you are asked to find the consumers preferences for the new car introduced by Tata Motors, Hexa which sampling method would you choose and why?

Our subjects are 35-44-year-old males whose blood pressures are normally distributed with mean 80 and standard deviation 12 A borderline hypertensive is defined as a person whose diastolic blood pressure is between 90 and 95 mm Hg inclusive; what proportion of subjects are borderline hypertensive? A hypertensive is a person whose diastolic blood pressure is above 95 mm Hg; what proportion of subjects are hypertensive?

As a policy of quick serving restaurant. A customer complaint needs to be attended immediately. On an average on a given day 4 customers complaints. Find the following probabilities.

A) P ( No complaints)

B) P ( At most 2 complaints)

Mirchi an FM stereo station in india, finds that the mean length of time a person is tuned to the station is 17.0 minutes with a standard deviation of 3 minutes. what is the probability that a sample of size 64 will result into a sample mean that is:

a) Between 16 to 16.5 minutes

b) Less than 16 but more than 18.125 minutes.

Classify the following variables as Nominal, ordinal interval and Ratio:

a) Number of cell phones sold by Reliance Digital

b) Grades received by the IBS students in their evaluation like A,B,C,D etc.

c) Different product categories like fashion, electronics, household goods etc sold on amazon.in.

d) Movie ratings given by critics.

e) Marks received (out of 50) by students in the Quantitative Techniques in midterms.