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 mean of this distribution is  The standard deviation is  The probability that the the child will be older than 5 years old?  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?  years old.

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.

  1. The mean of this distribution is 
  2. The standard deviation is 
  3. The probability that the the child will be older than 5 years old? 
  4. The probability that the child will be between 5.01 and 5.51 years old is 
  5. If such a child is at the 67th percentile, how old is that child?  years old.

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: The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normall...

A: Note:Hey, since there are multiple sub-parts question posted, we will answer first three sub-parts a...

Q: Find the​ z-scores that separate the middle 48​%of the distribution from the area in the tails of th...

A: Computation of probability of the area above and below the 48% of the distribution from the area:Fro...

Q: A random sample of 200 television programs contained an average of 5.25 acts of physical violenceper...

A: Confidence interval for mean:The formula for confidence interval is as follows:

Q: The​ three-year recidivism rate of parolees in a certain state is about 20​%; that​ is, 20​% of paro...

A: Solution:Binomial distribution:The binomial distribution gives the probability of number of successe...

Q: The article "Facebook Use and Academic Performance Among College Students"† estimated that 87% perce...

A: It is given that the population proportion is 0.87. In the survey the sample proportion van be obtai...

Q: A marketing firm wishes to estimate the standard deviation of the ages of college students. How many...

A: It is given that the margin of the error E is 0.05σ, respectively. The level of confidence is 0.95.

Q: Consider the following data: x −4 −3 −2 −1 0 P(X=x) 0.1 0.1 0.1 0.3 0.4   Find the e...

A: Given Data and calculation for the Expected value is shown below

Q: Assume that random guesses are made for ninemultiple choice questions on an SAT​ test, so that there...

A: Given datan = 9p= 0.4Applying Binomial theoremProbability of x success out of n trial is given by 

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

A: The middle 95% of the data is,