Homework Answers

Rohini has 3 scarfs which are identical in shape, form and cloth material. They are only different in colours. The first scarf is coloured red on both sides while both the sides of second scarf are coloured black. The third scarf is coloured black on one side and red on the other. She mixes the 3 scarfs in a box and randomly selects one scarfs and puts it down on the ground. If the upper side of the selected scarf is red in colour, what is the probability of the other side of the scarf to be black?

JGU students recently conducted a study to record the height of Asian Females in Haryana. They found the heights to be normally distributed with a mean 66 inches and a standard deviation of 2.5 inches.

a. Suppose a female is randomly selected. What is the probability of her height being between 65 and 69 inches.

b. Is it possible to meet a female in Haryana with a height more than 72 inches?

In 2016, around 12 Lakh students gave the CAT to bag an admission in India’s best business schools. In the math section of CAT, the marks follow a normal distribution with mean 520 and standard deviation 115.

A. What CAT score will be 1.5 standard deviations above the mean?

b. In 2022, a significant number of students also gave GMAT. Some colleges in India also accept GMAT scores as an alternative to CAT. The math section of GMAT is normally distributed with mean 21 and standard deviation 5.3. The math section is CAT-2022 also follows a normal distribution with mean 514 and standard deviation of 117. Raj took the CAT and scored 700 in the math section. Meanwhile, his friend Rahul scored 30 in the GMAT math section. Who do you think performed better?