On the planet of Mercury, 4-year-olds average 3.2 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time \( X \) the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible.a. What is the distribution of \( X \)? \( X \sim N(\underline{\phantom{0000}}, \underline{\phantom{0000}}) \)b. Find the probability that the child spends less than 2.2 hours per day unsupervised. \(\underline{\phantom{0000}}\)c. What percent of the children spend over 3.4 hours per day unsupervised. \(\underline{\phantom{0000}}\%\) (Round to 2 decimal places)d. 88% of all children spend at least how many hours per day unsupervised? \(\underline{\phantom{0000}}\) hours.

Answered: Image /qna-images/answer/4678e4ac-63ee-4429-8a9d-6cca7ffc9017.jpg

Answered: a. What is the distribution of X? X -…

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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76% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 30 bald eagles are randomly selected, find the probability that (a) At most 22 of them survive their first year of life. 0.73 (b) At least 23 of them survive their first year of life. (c) Exactly 21 of them survive their first year of life. X
p = 64.43%| d A trick coin has been weighted so that the probability of heads is 0.8 and the probability of tails is 0.2. 4. If you toss the coin 100 times how many heads would you expect on the average? =Dd 5. What is the probability of obtaining more than 95heads in 100 tosses? =Dd What is the probability of obtaining fewer than 95heads in 100 tosses? 6. 7. What is the probability of obtaining exactly 95 heads in 100 tosses? %3D 8. A true-false test has 36 questions. If a passing arade on this test is Y-24 (or morelcorrect
R2
R1
A class of students took a test. The instructor said that the 75th percentile score was 90 out of 100. What does this mean? A. 90% of the students scored 75 or more on the test. B. 75% of the students scored 90 or more on the test. C. 25% of the students scored 90 or more on the test. D. The high score in the class was (.75)(90).
Answer.
use each described binomial probability distribution to calculate the cumulative probability requested. The probability of a high school student in America wearing jeans to school on a particular day is 40%. Leon stood by the doorway of his classroom and recorded whether the next 10 students who entered the classroom were wearing jeans.
Which of the following predictions can be calculated using a geometric distribution? a. the number of expeditions that will reach the top of Mount Everest this year b. the number of trucks a weigh station will inspect before finding one that is overloaded C. both of the above d. neither of the above 31 SAMSUNG DIl 9% & 5 6 7 8. y
K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .
Find the indicated probability. 21. A hotel estimates that 95.5% of people who book a room actually show up. If the hotel takes reservations for 122 rooms in a hotel that has 120 rooms, what is the probability that the number of people who show up will exceed the capacity of the hotel?
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7. Can you find the shaded area? probability -3 -2 -1.5 -1 1 3 to search 99+ Desktop DELL F4 F5 F6 F7 F8 F9 F10 F11 F12 PrtS %24 % & 4 6. 8. 9. T Y H F.

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