The age of children in kindergarten on the first day of school is uniformly distributed between 4.71 and 5.91 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. The probability that the child will be between 5.01 and 5.51 years old is  If such a child is at the 67th percentile, how old is that child?

Question

The age of children in kindergarten on the first day of school is uniformly distributed between 4.71 and 5.91 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible.

The probability that the child will be between 5.01 and 5.51 years old is 

If such a child is at the 67th percentile, how old is that child?  

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may var...

A: (a) Computation of point estimate for p:Let p be the proportion of all permanent dwellings on the en...

Q: Question 1

A: Let mu1 be the sample mean of acute schizophrenics and mu2 be the mean of chronic schizophrenics.Hyp...

Q: A statistics professor announces that 15% of the grades he gives are As. The results of the final ex...

A: It is given that the mean and standard deviation are 83 and 6, respectively.

Q: #1: Let X1 and X2 be independent and identically distributed to random variable X such that X has me...

A: Introduction:Since X1, X2 are independent and identically distributed, the following important point...

Q: In a survey of 909 U.S.adults with children conducted by the financial Industry Regulatory Authority...

A: The hypotheses for the test is given below.Null hypothesis:H0: p = 0.30Alternative hypothesis:H1: p ...

Q: Use the standard normal distribution (aka z distribution where mu = 0 and sigma = 1) to determine th...

A: From the given information, the mean is 0 and the sigma is 1.

Q: Part A. Please show ti 84 steps

A: (a) The random sample, n is 60, the standard deviation is 20 and the sample mean is 32. The confiden...

Q: Political Survey- A political analyst found that 43% of 300 randomly selected republican voters feel...

A: It is given that p hat is 0.43 and sample size (n) is 300. The confidence level is 0.95.

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would pr...

A: (a) The probability that at least 84 would prefer a boy  is 0.1230 and it is obtained below: From th...

Q: Suppose you flip eight fair coins.   What is the probability of flipping exactly eight heads? What...

A: Binomial distribution:The events that has exactly two possible outcomes (success or failure) follows...

Q: In 2008, the Detroit Lions set an NFL record by losing all 16 regular season games. Suppose that the...

A: It is given that n =16.Here, probability of winning an individual game is 0.10.

Q: A standard six-sided die shows a number, 1, 2, 3, 4, 5, or 6, on each of its sides. You roll the die...

A: The sample space for the given experiment is S={1,2,3,4,5,6}Define the given events as,E={2,4,6} the...

Q: According to a​ newspaper, 40​% of bicycles stolen in a certain country are recovered. Find the prob...

A: Solution: We are given that 40​% of bicycles stolen in a certain country are recovered. Let x be the...

Q: 3. A medical researcher examined the number of asthma attacks patients had both before and while usi...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

Q: Assume the random variable X has a binomial distribution with the given probability of obtaining a s...

A: Given datan = 6p= 0.5Required probability is given by

Q: Births are approximately uniformly distributed between the 52 weeks of the year. 1 1 sxs53 f(x) = 52

A: Solution:Continuous uniform distribution:A random variable X is said to have the rectangular distrib...

Q: Please show TI 84 steps

A: Computation of mean and standard deviation:Here, n=100.The mean and standard deviation is calculated...

Q: Problem 4: Let X1, X2,..., Xn be a random sample of size n from the uniform population given by 1 1 ...

A: Let X1, X2 ……….Xn be a random sample of size n from the uniform population.Probability density funct...

Q: unrest and violence on one southern campus had descreased by 62% from 10 years ago. four out of ten ...

A: Population:The set of all subjects of interest can be termed as population.Sample:The subset of the ...

Q: Sociologist say that 90% of married woman have issues with their husband's mother and it is the bigg...

A: Preliminary calculations:The given scenario follows binomial distribution.The probability of success...

Q: A hypertension trial is mounted and 12 participants are randomly assigned to receive either a new tr...

A: 1.Hypotheses for the test is given below:

Q: The student council is hosting a drawing to raise money for scholarships. They are selling tickets f...

A: It is given that the number of tickets is 600 and the numbers of prizes are 1 grand, 4 second, and 1...

Q: From a sample with n=32, the mean number of televisions per household is 4 with a standard deviation...

A: Chebyshev’s rule can be used for the large set data. It says that at least 1-1/k2 percentage of the ...

Q: A poll asked the question, "What do you think is the most important problem facing this country toda...

A: Solution:The confidence interval formula for proportion formula is,

Q: College Units Frequency 0-24 25-49 3 Find the standard deviation for the grouped data. 50-74 6 75-99...

A: The standard deviation for the grouped data is calculations tabulated below:

Q: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly d...

A: A uniform distribution has an equal probability for all the outcomes of the random variable, that is...

Q: In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 241 accurate orders ...

A: The formula for the 95% confidence interval for the proportion is given below: 

Q: Bags of dog food are labeled 1 through 50. What is the probability that the dog will choose a number...

A: It is provided that, the bags of food have been labeled through 1 to 50.The formula to calculate the...

Q: 2. A study based on a sample size of 36 reported a mean of 87 with a margin of error of 10 for 95% c...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: The results of a common standardized test used in psychology research is designed so that the popula...

A: Formula for z-score is,

Q: please answer 1 & 2 The National Highway Safety Administration recognizes that the antilock...

A: 1)Formulation of hypothesisNull Hypothesis: - There is no difference between the average fatal crash...

Q: Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United St...

A: a)the population distribution can be obtained as follows:Step-by-step procedure to obtain the popula...

Q: A state lottery randomly chooses 6 balls numbered from 1 through 41 without replacement. You choose ...

A: The binomial experiment should satisfy the following properties:Each experiment has fixed number of ...

Q: Whooping cough (pertussis) is a highly contagious bacterial infection that was a major cause of chil...

A: Solution: We are given that 80% of unvaccinated children who are exposed to whooping cough will deve...

Q: The College Board National Office recently reported that in 2011-2012, the547,038 high school junior...

A: The given information is:

Q: Can you help me with j and k?

A: Solution:The mean is obtained below:The mean is,

Q: Help

A: The number of possible batting orders are:

Q: I don't understand how to solve for this. I'm having trouble understanding the percentages

A: Let us define the random variable X as the points for the final exam that are normally distributed w...

Q: Problem 5

A: Preliminary information:Proportion of success in group 1 is p1 is 0.34.Proportion of success in grou...

Q: A research scholar wants to know how many times per hour a certain strand of virus reproduces. The m...

A: It is givne that he mean is 12.9 and the population standard deviation is 2.2.

Q: X+19=0                                                      3

A: Hello there! You have posted the algebra question under statistics. Please make sure to post the que...

Q: Market-share-analysis company Net Applications monitors and reports on internet browser usage. Accor...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: A clinical trial tests a method designed to increase the probability of conceiving a girl. In the st...

A: Given datan = 600x = 330Sample proportion is given by

Q: Explain the four different types of sampling and give an example of each.

A: Different types of sampling methods with examples.Types of random samplings(1) Simple random samplin...

Q: A study is being conducted of the faculty salaries for a public university. Of the 1200 tenuretrack ...

A: a.In this context, the faculties are named as 3 stratum. That is full professors, associate professo...

Q: A manufacturer of automatic car transmissions uses steel gears. An important characteristic of these...

A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have s...

Q: Problem 1: If X1, X2, ... , Xn are a random sample from a population with mean u and variance o2, us...

A: Introduction:The method of moments estimator equates the population moments with the corresponding s...

Q: Suppose an individual was studying temperature’s effect on the crime rate. The researcher looked at ...

A: Note: Based on the computations using the technology, the calculations given here is correct.

Q: Ackerman and Goldsmith (2011) found that students who studied text from printed hardcopy had better ...

A: The hypotheses to be tested are:H0: μ = 81.7, that is, the average score of entire class is 81.7;Ver...

Q: Consider a binominal experiment with 2 trials, and p=0.4 a. Compute the probability of 1 success, f(...

A: It is given that n = 2 and p = 0.4. Therefore, q = 1–p = 0.6.The PMF of binomial distribution is giv...