FY SET1R1 Mathematics (April 2025)
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The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15. Find the range of IQ scores that covers the middle 95% of the population.
Given: P(a<X<b)=P(-c<Z<c)=95%.
The value of b is __________.
Thus, the middle 95% covers IQ scores from a to b.
The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15. Find the range of IQ scores that covers the middle 95% of the population.
Given: P(a<X<b)=P(-c<Z<c)=95%.
The value of c is __________.
Thus, the middle 95% covers IQ scores from a to b.
(a) The heights of adult males in a population follow a normal distribution with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that a randomly selected adult male is taller than 73 inches?
The required probability is
The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15. Find the range of IQ scores that covers the middle 95% of the population.
Given: P(a<X<b)=P(-c<Z<c)=95%.
The value of a is __________.
Thus, the middle 95% covers IQ scores from a to b.
A student takes a ten-question true/false exam. By using the binomial distribution,
Find the probability that the student gets exactly six of the questions right simply by guessing the answer on every question.
A hospital records the number of emergency room (ER) arrivals due to cardiac issues. Historically, an average of 3 patients with cardiac issues arrive per hour.
What is the probability that no more than 2 patients will arrive in an hour? (=0.0498)
A student takes a ten-question true/false exam. By using the binomial distribution,
Find the probability that the student will obtain a passing grade of 60% or greater simply by guessing
A hospital records the number of emergency room (ER) arrivals due to cardiac issues. Historically, an average of 3 patients with cardiac issues arrive per hour.
What is the probability that exactly 5 patients with cardiac issues will arrive in a specific hour?
Let X be the random variable with probability distribution function
Let X be the random variable with probability distribution function
Find the value of the
constant k.
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