Children with inadequate velopharyngeal closure have the most difficulty producing ______ correctly because they cannot develop sufficient intraoral pressure.

In the source-filter theory, the source is the ____ and the filter is the ______.

The p-value in hypothesis testing represents which of the following:   Please select the best answer of those provided below.

Assume that you have two fair six sided dice. Determine the probability that rolling a pair of dice and getting doubles and a sum of 8. (doubles:  both dice show the same number)

Given that 18% of people are left-handed, what is the probability that the first left-handed person will be the fourth person polled?

Let X and Y be jointly continuous random variables with joint PDF,    , for     Find the value of the constant  that makes this a joint probability density function.

A cake factory produces on average 5 cakes per minute. Calculate the probability that 4 or more cakes will get produced in 2 minutes.

Mio, a restaurant owner, wants to test if her two managers perform at the same level. To do that, she collects data about the number of customer complaints at two random samples of shifts (one for each manager) Assume data is normally distributed and assume equal variances.   Here is a summary of the results:

A synthetic fiber has tensile strength is distributed with mean 76 psi and and standard deviation 4 psi. What is the probability that a random sample of eight specimens will have tensile strength that exceeds 78 psi?

A researcher wishes to estimate the proportion of adults in the city of Darby who are vegetarian. In a random sample of 1423 adults from this city, the proportion that are vegetarian is 0.085.   Find a 90% confidence interval for the proportion of all adults in the city of Darby that are vegetarians.