Answered: A random variable, X, has a mean of 50…

A random variable, X, has a mean of 50 and standard deviation of 10. Which of the following probabilities is correct for P(30 < X < 70)? Select one or more: A. 0.25 B. 0.68 C. 0.78 D. 0.72

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: Suppose X is a random variable with possible values 1,-4 and 4 and with respective probabilities…

A: We have the random variables with probabilities. x 1 -4 4 P(x=x) 0.15 0.48 0.37 WE Know E(x)…

Q: Provide an appropriate response. The random variable x represents the number of computers that…

A: Mean E[x] = ∑xP(x)

Q: In a normal distribution, the majority of cases f

A: It is given that the statement about to the normal distribution. Here, need to find out the correct…

Q: Suppose a random variable K has the following distribution: k 2 4 6 8 P(k) 0.1 a b 0.4 1. Find the…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 45% of these…

A: The mean of the sampling distribution of the sample proportion. The standard deviation of the…

Q: ind the mean, variance, and standard deviation of ?. What is the probability that ? falls within the…

A: The probability distribution table is given below , x P(x) x*P(x) x2*P(x) 10 0.25 2.5 25 29…

Q: Suppose that the average price for a gallon of gasoline in the Country A is $2.79 and in Country B…

A: Data about the price of gasoline in two different countries is given.For country A:Mean is Standard…

Q: the probability that the sample mean is between 448 and 453 is closest to _______.

A: Let M be the sample mean for the sample of size n = 100.

Q: A manufacturer makes thousands of ballpoint pens per day, and estimates that 3% are defective and…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: A car salesman has a .2 probability of selling a car (or more than one car) each day. In 100 days…

A: There are two possible outcomes in this case. That is, probability of selling a car and probability…

Q: Suppose that T is a random variable with the following probability distribution: T: 3 4 p(t): 0.08…

Q: uppose widget masses have a mean of 20 grams and a standard deviation of 5 grams. It is known that…

A: Given, mean is 20 and standard deviation is 5. We will use z-standard normal distribution to find…

Q: of obtaining a sample mean of 68 or less from a sample of 35?

A: Population mean is 65 and standard deviation equal to 24 μ=65σ=24 Sample size is 35; n=35 Cumulative…

Q: 3. A random variable x has this probability distribution: X 1 2 3 4 5 P(x) .1 .3 .4 .1 ? .05 a. Find…

A: We have given probability mass function of X and we have to find out the probability and mean,SD of…

Q: . Find each of the following probabilities for a normal distribution. a. p(z > 1.25) b. p(z > -0.60)…

A: Required probability is P(Z>1.25)

Q: Suppose that the scores on Midterm 3 for Principles of Statistics is normally distributed with…

Q: Find the following probabilities if is standard normal variable. a. ?(?>―.12) b. ?(.43<?<2.07)

A: Probabilities are shown below : a, P(Z>-0.12) b, P(0.43<z<2.07)

Q: A population has a mean of 50 and a standard deviation of 11. If a random sample of 36 is taken,…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Let the random variable Z have a standard normal distribution. Find each of the following…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: For a standard Normal random variable find the following probabilities. a. X is less than 1.72 b. X…

A: a. X is less than 1.72 P(X<1.72)=? =0.9573

Q: If the random variable X follows a Poisson distribution with parameter 7, what is the probability…

A: given , X follows poission distribution (λ=7)

Q: If X is a normally cistributed random variable with a mean of 45 and a standard deviation of 8, find…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A discrete random variable X can assume the following values, 42, 44, 46, 48, 50. Its probability…

A: X 42 44 46 48 50 P(X) 0.3 a 0.2 0.1 0.15

Q: Suppose the proportion of one-child families in which the child is a boy is 0.488. For a random…

A: From the provided information, The proportion of one-child families in which the child is a boy is…

Q: Find the probabilities for the following z-scores: 1. p(z -0.25) 3. p(z 1.68)

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: From the given information we find the solution for the given problem.

Q: Kindly answer items 10, 11 and 12. Please choose the correct option. Thank you.

A: Given 10. P(X)=X8 12.

Q: Suppose you sample 2 students from every classroom where a class is being held at Duke University at…

A: Solution The distribution of the population is not given and sample size is not large to apply the…

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

Q: Suppose z is a standard normal random variable. Find the z-value given probabilities: a. z-value…

A: given data standard normal distributiopnZ~N(0,1)

Q: A random variable x has a standard normal probability distribution. Which of the following…

Q: A sample of 36 is taken from a population that is normally distributed with mean 15 and standard…

Q: Find the standard deviation of each random variable shown. The mean for part a is 2.3, and the mean…

Q: The acidity of human blood, measured on a pH scale, is a normal random variable with a mean of 7.4…

Q: Let X be a random variable that has a Poisson distribution. If the probability that X is greater…

A: Random variable X follows poisson distributionP(X>0)=0.9986

Q: Let the random variable X be equally likely to assume any of the values 1/15, 2/15, or 1/5.…

Q: Let X be a random variable that has a Poisson distribution. If the probability that X is greater…

A: X has a Poisson distribution with P(X>0)=0.9967

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

A random variable, X, has a mean of 50 and standard deviation of 10. Which of the following probabilities is correct for P(30 < X < 70)?

Select one or more:

0.25

0.68

0.78

0.72

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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

Solve the following problem. Studies show color blindness affects 8% of male. A random sample of 10 male is taken. Find the probability of: All men are color blind None are color blind Exactly 2 men are color blind At least 3 men are color blind Based on the condition above What is the average or expected number male that is color blind What is the standard deviation of the number of male that is color blind
5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X P(X) 0 0.05 1 0.25 2 0.35 3 0.20 4 0.15 c. How many red lights should she expect to hit each day?d. What is the standard deviation
3 Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 136.8 ft and a standard deviation of 8.1 ft. A tree of this type grows in my backyard, and it stands 141.7 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. My neighbor also has a tree of this type growing in her backyard, but hers stands 149.8 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. Enter your answers as decimals accurate to 4 decimal places. Submit Question 3.0 E D FFB $ 4 70 F in de % FSS T G MacBook Air Y & 7 H *** 8 U UI J F9 K
Q. 3 In a large population of adults, 45% have a University degree. If people are selected at random from this population: (i) Find the probability that the third person selected is the first one that has a post University degree. (ii) Find mean and standard deviation of this geometric distribution.
Please answer d
a..089 b..086 c..088 d..087
You play a game of chance in which you can either win or lose (there are no other possibilities). The probability of winning is 0.22. What is the standard deviation of X, where X is the number of times one needs to play a game until one gets the first win?
A population has a mean of 50 and a standard deviation of 19 If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a . Greater than 50. b. less than 52. C. less than 49. d.between 45.5 and 54.5 e and Between 50.5 and 51.1
81223456 Number of Accidents ('x = X)d 0.28 Daily (X) 0.31 0.19 0.08 0.07 0.05 0.02 a given day? MacBook
Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg. Suppose that the distribution of weights is not normal and n = 40. Find the probability that a random sample of 15 males will have a mean weight that exceeds 75kg. .9998 0.0002 0.2 0.0001 Other:
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. 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) O 0.086 0.326 0.414 0.174 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the random variable x is categorical instead of numerical. O E. No, not every probability is between 0 and 1 inclusive.
Assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 19. Find the probability that a randomly selected adult has an IQ greater than 135.9.(Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 135.9 is ____