The scores of an entrance examination are known to benormally distributed with a mean of 118 and standarddeviation as 12.(ii)EIf a candidate obtaining a score of at least 100 isdeclared successful, what is the probability that acandidate chosen at random will be successful?(ii) Obtain the lowest score of the top 25% of thecandidates.If it is decided to pass 70% of those taking theexamination what should be the lowest passingscores?

Answered: Image /qna-images/answer/1b741ca2-da60-4da4-9700-e3d3495190f9.jpg

Answered: The scores of an entrance examination…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A bus heading to university is always scheduled to arrive at a certain bus stop at 7:30am. The difference between the actual arrival time and 7:30am is normally distributed with mean 0 and standard deviation of 2 minutes.A student who always has a class at 8am decided to be at the bus stop at 7:28am in order to try to guarantee catching this bus. What is the probability that the student will catch the bus on any particular day?Probability = What is the probability that the student will catch the bus at least 4 times out of 5 days?Probability =
About 78% of all female heart transplant patients will survive for at least 3 years seventy female transplant patients are randonly selected. What is the probability that the sample proportion surving for at least 3 years will be less than 72%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pq/n. The probability that the sample proportion surviving for at least 3 years will be less than 72% is ____________. Round answer to four decimal places.
Suppose we have a normal distribution N(2, 4), using the Empirical rule, what proportion of data is between the data values -2 and 6?
The weights of men in a particular age group have mean ? = 186 pounds and standard deviation ? = 20 pounds. (a) For randomly selected samples of n = 4 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (b) For randomly selected samples of n = 16 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint. Increasing the sample size (increses/decreases/doesn't effet)the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the standard deviation by a factor of (1/4, 1/2, 1, 2, or 4)
An Intelligence test score for adults is normally distributed with a mean of 100 and population standard deviation of 15. What is the probability we could select a sample of 64 adults and find that the mean of this sample is between 98 and 103? (answer rounded to 2d.ps)
To study the IQ of middle school students, a sample of 64 middle schoolers is selected and the population standard deviation for middle schoolers IQ is 16, then the standard deviation of the sampling distribution for mean IQ of middle schoolers is 2. O True O False
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
A machine produces small rods and large rods. The diameters of small rods are normally distributed with mean 2 cm and standard deviation 0.12 cm. The diameters of large rods are normally distributed with mean 2.2 cm and standard deviation 0.15 cm. (i) Find the probability that a randomly chosen small rod has diameter greater than 2.15 cm. (ii) A box contains one small rod and one large rod. Find the probability that at least one of the rods has diameter greater than 2.15 cm.
The time required to complete a final examination in a particular forestry subject is normally distributed, with a mean of 100 minutes and a standard deviation of 15 minutes. What is the probability of the following? (a) A student will complete the exam in at most 90 minutes? (b) A student will complete the exam in more than 75 minutes but less than 95 minutes? (c) Assume that the class has 60 students and that the examination period is 2 hours in length. How many students do you expect will be unable to complete the exam in the allotted time?
(b)The annual rainfall in Dhaka is normally distributed with mean 26 inches and standard deviation 2 inches. (i) What is the probability that the next 2 years the rainfall will exceed 50 inches? Assuming that the rainfalls in different years are independent. (ii) Find the median of rainfall for a year. (iii) What is the chance that annual rainfall will be in between 23 to 30 inches?
Suppose we are about to sample 200 values from a normally distributed population that has a mean of 120 and a standard deviation of 70. What is the 10th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and no extra characters or symbols.)

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