Can you apply the idea of p-value to the same problem and explain which probability value can be used as a p-value? Why? Suppose that exam grades are approximately normally distributed with a mean of 68 and a standard deviation of 9 points. If a student requires at least 90 to secure an A, what is the chance of getting an A in this exam?

The probability that a sampled person has either a great deal or some confidence in educational institutions is not 1. For step 1 can you please check this

Suppose 2 dice are rolled, and suppose the discrete variable x counts the number of 3’s that show up. Plot the probability distribution for x using a bar graph. What is the expected value for the random variable x? What is the variance for the random variable x?

Children being exposed to unsafe levels of lead exposure is thought to be to an environmental factor increasing the chance of a child being diagnosed with ADHD. During the 1990s about 0.3% of children were exposed to unsafe levels of lead (usually from lead pipes). 3. If we let X = the number of children in our study with exposure to unsafe levels of lead we can use the binomial distribution to model the probability distribution of X. Explain why using the definition of Binomial from your notes. (Recall we randomly selected the 425 children and the probability a child is exposed is 0.3%. 4. The researchers found that 5 children in the study had unsafe levels of lead in their blood, Find the probability that in a random sample of 425 children we find at least 5 that have exposure to unsafe levels of lead. 5. Is it unusual to find at least 5 that have exposure to unsafe levels of lead? Explain showing work.

The result of a nationwide aptitude test in mathematics are normally distributed sith mean=63 and standard deviation =5 a. What is the probability of scores greater than 65? b. What is the probability of scores less than 65?

The mean annual salary for nurses is $65,000 with a standard deviation of $7,000.                What is he probability that a randomly selected nurse has a salary less than $60,000?               A random sample of 50 nurses is selected.  What is the probability that the sample mean annual salary is less than $60,000?

The probability distribution itself is assumed to be a beta distribution. True or false?

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 55 miles and a standard deviation of 8 miles. Find the probability of the following events: The car travels between 49 and 63 miles per gallon. Probability =

If a researcher wanted to know the probability than an individuals's systolic blood pressure would fall above 95 and found that the corresponding z-score is -1.5, what is the probability that a random individuals' systolic blood pressure would fall above 95?