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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?
The viscosity of a fluid is to be measured by a viscometer constructed of two 3m long concentric cylinders. the inner diameter of the outer cylinder is 35cm, and the gab between the two cylinders is 0.14m.the outer cylinder is rotated at 250rpm and the torque is measured to be 1.8N determine the viscosity of fluid
What factors determine the effectiveness of discretionary fiscal policy?
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Find 80%, 85%, 99, 99% confidence interval for the sample mean of a population,. if we know that a random sample of 70. people from the population, the sample mean is 60 and standard deviation. is. 5
An economy is currently in equilibrium. The following figures refer to elements in the national
income accounts.
$ Billions
Consumption (total) 60
Investments 5
Government expenditure 8
Imports 10
Exports 7
g. Given an initial level of national income of $80 billion, now assume that spending on exports
rises by $4 billion, spending on investment rises by $1 billion, whilst government expenditure
falls by $2 billion. By how much will national income change?
The viscosity of a fluid is to be measured by a viscometer constructed of two 3m long concentric cylinders.the inner diameter of the outer cylinder is 35cm, and the gap between the two cylinders is 0.14cm.the outer cylinder is rotated at 250rpm. and the torque is measured to be 1.8N determine the viscosity of the fluid
The mean dying rate of mice administered yo a given dosage of an experimental drug is 45with a variance of 25. What is the probability randomly selected 55 mice, which received the drug, more than 50 will die? Assume normality
