A package of 6 bulbs are tested where the probability of an individual bulb is defective is 0.05. (That is, 5% of all the bulbs manufactured are defective). 1. Find the expected value of this. 2. Find the standard deviation of this distribution?

A package of 6 bulbs are tested where the probability of an individual bulb is defective is 0.05. (That is, 5% of all the bulbs manufactured are defective). 1. Find the expected value of this. 2. Find the standard deviation of this distribution?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. Find the probability of randomly selecting a value (Hint: round off z scores to 2 decimal places) 1. less than 48.5 mm? 2. between 50 mm and 55 mm?
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 81 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
Gas mileage of vehicles follows a normal curve. A Ford Escape claims to get 25 mpg highway, with a standard deviation of 1.6 mpg. A Ford Escape is selected at random. (a) What is the probability that it will get more than 28 mpg? 1b. Suppose the test scores among a set of first year nursing students are normally distributed with a mean of 500 and a standard deviation of 100. If a student nurse scores a 700, what would be her z-score?
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 20 ✓,7 b. If an American is randomly chosen, find the probability that this American will receive no more than 23 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 21 and 25 Christmas cards this year. d. 70% of all Americans receive at most how many Christmas cards? (Please enter a whole number)
The Boeing 157-200 ER aircraft carries 200 passengers and has doors with a height of 72 inches. Male heights are normally distributed with a mean of 67.4 inches and a standard deviation of 3.8 inches. 1. If a male passenger is selected at random, find the probability that he can pass through the door without leaning over. Enter your answer to four decimal places. 2. If half of the 200 passengers are men, find the probability that the average height of the 100 men is less than 72 inches. Enter your answer to four decimal places.
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
Suppose that the distribution of the grades of students in MAPEH performance 1 is roughly normally distributed with a mean of 85 and a standard deviation of 5 a. Between what values do we expect the grades of the middle 68% of the MAPEH students in performance 1 lie? b. Suppose you randomly select 16 MAPEH students, find the probability that the average grades of these students is at least 86. c. A MAPEH student whose grades lies in the upper 1% of the distribution (inclusive of the 1% cutoff) is considered extremely performing in Performance 1. Can you say that Jazzer, a randomly selected student who obtained a grade of 95, is one of those who performed extremely in Performance 1?
The average amount of money spent for lunch per person in the college cafeteria is $5.99 and the standard deviation is $2.1. Suppose that 49 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. For the group of 49 patrons, find the probability that the average lunch cost is between $5.77 and $6.08.
The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before____days are considered premature. (Round to the nearest integer as needed.)
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.32 feet and a standard deviation of 0.40 feet. A sample of 83 men’s step lengths is taken. Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected person at the hot springs stays longer then 77 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: (. ) minutesQ3: ( )minutesIQR:( )minutes PLEASE ANSWER ALL 3 SUBS B, C, AND D
The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High: