Given a random sample size of n = 1, 600 from a binomial probability distribution with P = 0.40, do the followinga. Find the probability that the number of successes is greater than 1,650.b. Find the probability that the number of successes is fewer than 1,530.c. Find the probability that the number of successes is between 1,550 and 1,650.d. With probability 0.09, the number of successes is fewer than how many?e. With probability 0.20, the number of successes is greater than how many?

Given a random sample size of n = 1, 600 from a binomial probability distribution with P = 0.40, do the followinga. Find the probability that the number of successes is greater than 1,650.b. Find the probability that the number of successes is fewer than 1,530.c. Find the probability that the number of successes is between 1,550 and 1,650.d. With probability 0.09, the number of successes is fewer than how many?e. With probability 0.20, the number of successes is greater than how many?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A random sample will be selected from the population of all adult residents of a particular city.…

A: Here 3 estimates with the sample size is given. In order to get closest estimator we must look at…

Q: Find the probability of exactly 8 Mexican-Americans among 12 jurors. Round your answer to four…

A: Given Probability distribution table

Q: Suppose you have a population of adult male basketball players and you know their mean height is 190…

A: given data normal distributionμ = 190 cmσ = 7.2 cm

Q: he mean height of women in a country (ages 20−29) is 64.4 inches. A random sample of 70…

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A: a. Consider that p is population proportion of households that spend more than $100 per week on…

Q: Find n if meu is 7 and p is 0.2 binomial distribution.

A: Given: Meanμ=7 Probability of success (p) = 0.2

Q: Calculate the probability for both groups.

A: It is given that The number of family from CA owns a home = 730 The number of family from CA do not…

Q: In a Statistics class, the final exam scores were normally distributed with a mean of 63 and a…

A: Mean, μ = 63 and standard deviation,σ = 5

Q: 3. A surgical technique is performed on ten patients. You are told there is an 83% chance of…

A: Givenn=10p=0.83

Q: The probability of a defective bolt is 2. Find (a) the mean and S.D. for the distribution of…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 79…

A: (a) Determine the distribution of X. The distribution of X is determined below as follows:

Q: Suppose multiple samples of size n are drawn from a population with a probability of success equal…

A: Defined : probability of success equal to 57% p=0.57

Q: You randomly sample 300 graduating seniors and 40 indicate that they are going straight to graduate…

Q: If four coins are tossed simultaneously, what is the probability distribution of the random variable…

A: From the provided information, Total outcomes tossing four coins simultaneously = 42 = 16

Q: For each probability and percentile problem, draw the picture. The speed of cars passing through…

Q: A courier service company wishes to estimate the proportion of people in various states that will…

A: number of samples, n = 330 true proportion, p = 0.05 Let, p^ be the sample proportion. Hence p^…

Q: mean height of women in a country (ages 20 −29) is 64.4 inches. A random sample of 50 women in…

A: Mean=64.4, Sample size=50

Q: class consisting of 50 students had their grades handed out by their professor. Nine of the…

A: Given that Frequency distribution table X 1.00 1.25 1.50 1.75 Frequency 9 8 12 21

Q: 34% of likely U.S. voters think that the federal government should get more involved in fighting…

Q: Night Owls - A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours…

A: The random variable time follows normal distribution. The population proportion is 40%. We have to…

Q: What is the probability of a sample mean being between z-values of -1.58 and 0.79?

A: We have to find the probability of a sample mean being between z-values of -1.58 and 0.79?

Q: The probability that the wait time in a doctors office is at most 20 minutes is 27% how many…

Q: Explain why X can be modeled by a binomial distribution even though the sample was selected without…

Q: Q2. Identify the Incorrect statement. In a Binomial Distribution each trial: A. Has the same 2…

A: we know; in a binomial distribution- 1. each trials are independent. 2. each trials has only 2…

Q: Suppose 57% of the population has a college degree. If a random sample of size 770 is selected,…

A: the pdf of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: 1. Suppose that 31% of adults have at least one tattoo. If you sample 90 random adults, what is the…

A: 1. From the given information the sample size is (n) = 90 A population is normally distributed is an…

Q: For a binomial probability distribution with P = 0.5 and n = 12, find the probability that the…

A: The Binomial distribution for random variable k is given as. Pk=nCkpk1-p(n-k) Substitute 0 for k in…

Q: The mean height of women in a country (ages 20−29) is 64.3 inches. A random sample of 60 women in…

Q: The probability that a truck will be going over the speed limit on I-77 South between Dobson and…

Q: The mean height of women in a country (ages 20−29) is 64.1 inches. A random sample of 70 women in…

A: GivenMean(μ)=64.1standard deviation(σ)=2.86sample size(n)=70

Q: The probability that a high school student has smoked marijuana is 46%. If 16 high school students…

A: Given that p=46%=0.46 n=16

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A: Given N=800 P=0.17

Q: 5.82 Carbon Tax. A poll commissioned by Friends of the Earth and conducted by the Mellman Group…

A: We have given that p=72%=0.72. ,q=1-p=1-0.72=0.28 n=6 X~Binomial(n=6,p=0.72) The pmf of Binomial…

Q: Suppose we select an simple random sample of size n = 100 from a large population having proportion…

A: Here we want to find correct p which follow approximately Normal distribution.

Q: In an election, suppose that 65% of voters support the incumbent candidate. If we poll 216 of these…

A: The given information is:The population proportion is The sample size is

Q: The mean height of women in a country (ages 20−29) is 64.4 inches. A random sample of 75 women…

Q: About 78% of all female heart transplant patients will survie for at least 3 years. Sixty female…

A: From the provided information, Population proportion (p) = 0.78 Sample size (n) = 60

Q: 1 out of every 10 fish have blue on them. If you were to take a random sample of 60 fish, what is…

A: Let X denote the number of blue fish out of n = 60 fish. Let p denote the probability of getting…

Q: Suppose that an ice cream dispenser fills up an average of 200 mL per cup. If it is in normal…

A: The average number of ice cream dispenser fill up an average of 200 ml per cup. The standard…

Q: According to a poll of adults, about 44% work during their summer vacation. Assume that the true…

A: From the provided information, The proportion of all adults that work during summer vacation is p =…

Q: The weights of steers in a herd are distributed normally. The variance is 40,000and the mean steer…

A: Consider X be the random variable that represents the weights of steers in a herd. X is normally…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Given a random sample size of n = 1, 600 from a binomial probability distribution with P = 0.40, do the following
a. Find the probability that the number of successes is greater than 1,650.
b. Find the probability that the number of successes is fewer than 1,530.
c. Find the probability that the number of successes is between 1,550 and 1,650.
d. With probability 0.09, the number of successes is fewer than how many?
e. With probability 0.20, the number of successes is greater than how many?

Video Video

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

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

With probability 0.09, the number of successes is fewer than how many

Solution

by Bartleby Expert

SEE SOLUTION

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

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

Similar questions

The mean GPa of university students is 2.3 with a SD of 1.2. If you were to draw 36 students at random and compute their mean GPA, what is the exact probability that this mean will be 2.67 or less? Use four decimal places.
The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100⁢lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180⁢lbs. Round your answer to four decimal places.
In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =
The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about
The time it takes a mechanic to change the oil on a car is uniformly distributed between 11 and 30 minutes. The rectangle with area 1 below depicts this. The area of the shaded rectangle is the probability that a mechanic finishes the oil change between 20.19 minutes and 27.68 minutes. Find the area of the shaded rectangle. Round your answer to 4 decimal places (if possible).
The percent defective from an incoming lot is 3%.An OC curve showed the probability of acceptance to be 0.55.Given a lot size of 2,000 and a sample of 100, determine theaverage outgoing quality in percent defective
According to Reader's Digest, 37% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 390 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p) .37 (to 2 decimals) .0227 (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer - This is because the increase in the sample size makes the standard error, o Select your answer -
You have a uniform distribution whose lowest value is 7 and whose highest value is 15. Find the probability that a randomly selected number from this distribution will be between 9.3 and 10.6.
Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximately Normal with a mean of 58.2 shells and a standard deviation of 12.8 shells. The number of shells Thomas collects on any given day, T, is approximately Normal with a mean of 47.9 shells and a standard deviation of 11.5 shells. Assume the two random variables are independent of each other. What is the probability that on a randomly selected day the total number of shells collected by Renee and Thomas is 120 or more? 0.002 0.209 0.284 0.791
Consider the probability that more than 9595 out of 155155 CDs will not be defective. Assume the probability that a given CD will not be defective is 60%60%. Approximate the probability using the normal distribution. Round your answer to four decimal places.
Thirty percent of the students in a class of 100 are planning to go to graduate school. The Variance of this binomial distribution is: A. 16 B. 21 C. 25 D. 36 Cat
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,