In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. It is known that 84% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 61 new products, find the following probabilities. (Round your answers to four decimal places.) A USE SALT (a) within 2 years 47 or more fail .0490 (b) within 2 years 58 or fewer fail (c) within 2 years 15 or more succeed

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. It is known that 84% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 61 new products, find the following probabilities. (Round your answers to four decimal places.) A USE SALT (a) within 2 years 47 or more fail .0490 (b) within 2 years 58 or fewer fail (c) within 2 years 15 or more succeed

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

Related questions

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: (a) Obtain the probability that a randomly selected person has received four tickets in a…

Q: A manufacturing plant uses a specific bulk product. The amount of product used in one day can be…

A: It is given that the amount of product used in one day can be modelled by an exponential…

Q: Assume that at Milo’s loading dock load times can be described using an exponential distribution and…

A: Given,The average time to load a truck is 15 minutesand A random variable X~exponential…

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: From the given set of informations: x 0 1 2 3 4 5 P(x)…

Q: Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and…

Q: ity of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for…

A: Value of n and r is missing so I have considered them by referring a similar question. Given: n=217…

Q: Seventy-seven percent of adults want to live to age 100. You randomly select five adults and ask…

A: Number of samples (n) = 5 Probability of success (p) = 77% = 0.77 I will use excel formula…

Q: The average lifetime of a certain new cell phone is 4 years. The manufacturer will replace any cell…

A: Let X be the life of cell phone X~exp(λ=4) We want to find the probability P(X≤3)=?

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given Data sample size,n 793 probability,p 0.033

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: Solution: From the given information, the probability distribution of X is

Q: vm 6.2 11 The table summarizes results from 979 pedestrian deaths that were caused by automobile…

A: Step 1: Compute the row and column totals YesNoTotalYes5069= 50 + 69No243617= 243 + 617Total= 50 +…

Q: The random variable X is exponentially distributed, where X represents the time it takes for a…

Q: Suppose that a certain examination is to be taken by five students independently of one another, and…

Q: The time (in years) after reaching age 60 that it takes an individual to retire is approximately…

Q: Find the mean of the following probability distribution? P(x) 0.0666 1 0.1178 0.1716 0.3764 0.2676…

A: Probability distribution table is given.

Q: If events A and B are independent and P(A)= 0.32, P(B)= 0.28 Calculate P(A and B)? Round to…

A: Answer: From the given data, P(A) = 0.32 and P(B) = 0.28 If events A and B are independent events

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: Solution x P(x) 0 0.2775 1 0.2546 2 0.2388 3 0.1736 4 0.0449 5 0.0106 6+ 0.0000…

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: Solution: In the given problem, it is required to determine if the given distribution is a…

Q: Eighty-five percent of adults want to live to age 100. You randomly select five adults and ask them…

A: 85% of adults want to live to age 100. i.e., Sample size (n) = 5

Q: Suppose X is an exponential random variable, and E(X) = 2. Find the probability that X will be…

A: Given, μ=2 σ2=22 σ=2 Probability density function of x is, p(X=x)=12e-x2…

Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…

Q: The average lifespan for a certain type of vehicle is 8 years and follows an exponential…

A: Given that the average lifespan for a certain type of vehicle i 8 years and follows an exponential…

Q: -cleaning establishment receives per day is a random variable having Poisson distribution with…

Q: The unemployment rate in a city is 11%. If 10 people from the city are sampled at random, find the…

Q: P(A)=34 PCB) 14 At a certain school, 34% of the students will qualify for financial A and 19% will…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Safari
File Edit
View
History Bookmarks
Window
Help
66%
Sun 10:21 PM
A webassign.net
>>
SALT: Statistical Analysis and...
*. Homework for Week #7 - MA.
C More Than A Decade Ago, Hi.
C It Is Known That 75% Of All N..
C Sketch The Area Under The S...
G kia gt line price - Google Sear..
19.
DETAILS
BBUNDERSTAT12 6.6.011.S.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
It is known that 84% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 61 new products, find the following
probabilities. (Round your answers to four decimal places.)
n USE SALT
(a) within 2 years 47 or more fail
.0490
(b) within 2 years 58 or fewer fail
(c) within 2 years 15 or more succeed
(d) within 2 years fewer than 10 succeed
Need Help?
Read It
20.
DETAILS
BBUNDERSTAT12 6.5.013.S.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 78 tons of coal into each car. The actual
weights of coal loaded into each car are normally distributed, with mean u = 78 tons and standard deviation o = 1 ton.
MAR
21
tv A

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 21 minutes, what is the probability that X is less than 28 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)
Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts D AND E. A, B, AND C HAVE BEEN ANSWERED.
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) D 0.029 0.153 0.318 0.318 0.153 0.029 1 2 4 --... Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the random variable x is categorical instead of numerical. O c. No, the sum of all the probabilities is not equal to 1. O D. No, the random variable x's number values are not associated with probabilities. O E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. p=…
The life, in years, of a certain type of electrical switch has an exponential distribution with a mean life of β = 2. If 10 of these switches are installed in different systems, what is the probability that at most 3 fail during the first year?
A survey of 2,350 adults reported that 54% watch news videos. Complete parts (a) through (c) below K a Suppose that you take a sample of 50 adults. If the population proportion of adults who watch news videos is 0.54, what is the probability that fewer than half in your sample will watch news videos? The probability is 0.2852 that fewer than half of the adults in the sample will watch news videos (Round to four decimal places as needed.) b. Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0 54, what is the probability that fewer than half in your sample will watch news videos? The probability is that fewer than half of the adults in the sample will watch news videos (Round to four decimal places as needed)
The time T, in minutes, between the arrival of two successive patients in an emergency room can be modeled as an exponential distribution with mean 20 minutes.Determine the following probabilities:(a) P(T > 30), (b) P(12 <T< 18), (c) P(T < 25). NOTE: Please explain each part, so the problem can be used as a Study Guide
6. The magnitude (Richter scale) of earthquake along a Taiwanese fault is exponentially distributed, with A= (1/2.5). What is the probability of an earthquake exceeding magnitude 6.4? There is 1 earthquake per year (on average) along the fault with magnitude greater than 5.5. Given this, what is the probability of an earthquake during the year that exceeds magnitude 7.2?
A-In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.It is known that 76% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 62 new products, find the following probabilities. (Round your answers to four decimal places.) -?within 2 years fewer than 10 succeed= B-Suppose x has a distribution with ? = 58 and ? = 8. -?Find P(54 ≤ x ≤ 59). (Round your answer to four decimal places.)
a and b part
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.033 1 0.161 2 0.306 3 0.306 4 0.161 5 0.033 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the sum of all the probabilities is not equal to 1. D. No, the random variable x's number values are not associated with probabilities. E. No, the random variable x is…
The lifetime T (in years) for a particular type of electric toothbrush is assumed to have the probability density f given by t 0 ≤ t ≤6 f(t) = {+ 3 18 otherwise.
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3377 1 0.3347 2 0.1744 3 0.0605 4 0.0464 5 0.0463 6+ 0.0000 a) What is the probability that a randomly selected person has received four tickets in a three-year period?P(x=4)=P(x=4)=b) What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=P(x≥4)=c) What is the probability that a randomly selected person has received more than four tickets in a three-year period?P(x>4)=P(x>4)=d) Would it be unusual to randomly select a person who has received four tickets in a three-year period? Yes No e) Which probability should we use to…