Activity 3: Let's Solve!Directions: Do what is asked in the following problems:1. Five hundred children participated in a field demonstration. Their heights havean average of 110 cm with a standard deviation of 6 cm.a. What is the probability that a child picked at random has a height greaterthan 114 cm?b. What is the probability that the height of a child picked at random is lessthan 105 cm?c. What is the probability that the height of a child picked at random isbetween 110 cm & 121 cm?d. How many children have heights between 97 cm and 104 cm?2022.02.24 20:42

Answered: Image /qna-images/answer/97e2f157-45a4-423e-9239-d67f16e25552.jpg

Answered: Five hundred children participated in a…

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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Given a normal population whose mean is 690 and whose standard deviation is 61, find each of the following: A. The probability that a random sample of 7 has a mean between 695 and 714. Probability = B. The probability that a random sample of 19 has a mean between 695 and 714. Probability= C. The probability that a random sample of 30 has a mean between 695 and 714. Probability=
The scores on a test are normally distributed with an average (mean) of 72 and a standard deviation of 4 points. A. What is the probability that a test score is greater than 80? B. What is the probability that a test score is less than 67? C. What is the probability that a score is between 70 and 80? D. What score is the grade at which 10% of scores are lower than other scores?
Please answer with details on how to do it. Thank you. 6.)Find the probability distribution of girls in a family of 6 children, assuming fair probability (p = 0.5). a.) What is the probability that the couple will have at most 4 girls? b.) Find the mean and standard deviation. You can use the shortcut formulas.
The length of a fully grown plant is normally distributed and has a mean 35cm. It is found that 5% of these plants are longer than 45cm. 1. Find the standard deviation. 2. When plants are chosen for sale, those shorter than 30cm.are rejected. Find the probability that a plant will be rejected.
1. The mean of the population is 100 and the standard deviation is 15 (These are IQ values by the way. a. What is the probability of finding a person who has an IQ between 90 and 110? b. What is the probability of finding a person who has an IQ that is less than 90? c. What is the probability of finding a person who has an IQ that is greater than 110?
4. The systolic blood pressure reading for a person varies throughout the day. Assume that for a certain person their readings follow a normal distribution with mean 120mmHg and standard deviation 25mmHg. A. What's the probability that a blood pressure reading for the person with the distribution above is between 110 and 125? B. What's the probability that a blood pressure reading for the person with the distribution above is less than 130? C. If a person's systolic blood pressure is more than 140, they are considered hypertensive. What's the probability that a single reading would indicate that this person is hypertensive?
Given a normal population whose mean is 435 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 3 has a mean between 442 and 448. Probability = B. The probability that a random sample of 18 has a mean between 442 and 448. Probability = C. The probability that a random sample of 22 has a mean between 442 and 448. Probability =
2. The average IQ of college students is 126 and the standard deviation is 15. 1. Determine the probability that a randomly selected student has IQ at least 130. 2. If there are 16 students in a class, determine the probability that at least 3 of them have IQ at least 130.
3. Thermometers in a freezer are normally distributed with a mean of 0 degrees and a standard deviation of 1. a.) What's the probability a thermometer reads 1.62 degrees or more? b.) What's the probability a thermometer reads 2.21 degrees or less? c.) What's the probability a thermometer reads between-1.32 and 1.84 degrees?
The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.
Please answer all these questions.
Seventy percent of the students applying to a university are accepted. Using the Excel formula, what is the probability that among the next 18 applicants: 1. Fifteen or more will be accepted? 2. Determine the expected number of acceptances. 3. Compute the standard deviation.

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