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Find the z-score for the given shaded region under the standard normal distribution. Round your answer to two decimal places. z-score =  

Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a heart. Are these events independent? Type Yes or No: [a] Determine the probability of drawing a diamond and then a heart without replacement. Write your answer in decimal form, rounded to four decimal places as needed.  Answer= [b] Linda draws a diamond from a standard deck of 52 cards. She returns the diamond to the deck, then draws a second card. Her second card is a heart. Are these events independent? Type Yes or No: [c] Determine the probability of drawing a diamond and then a heart with replacement. Write your answer in decimal form, rounded to four decimal places as needed.  Answer= [d]

The study of events and circumstances that mediate gene expression is know as:

Fayech University claims that the mean GPA of night students is approximately normally distributed with mean 3.3 with a population standard deviation of 0.04. We wish to test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.05 significance level.  Based on a sample of 55 people, we find the sample mean GPA was 3.33. The null and alternative hypothesis would be: [a] Type the letter of the correct option in the box above. A B C D E F The test is: [b] Type the letter of the correct option in the box above. A B C two-tailed left-tailed right-tailed The test statistic is [d] (to 2 decimals) The critical value is:  [e] (to 2 decimals) Draw a picture of this graph on your scratch paper.  I will grade the graph after you upload your work. [c] Based on this we [f] A B Fail to reject the null hypothesis Reject the null hypothesis  

In a lottery game, a player picks 7 numbers from 1 to 50. How many different choices does the player have if order doesn’t matter? There are [a] choices to pick for the lottery. 

According to Bloomberg News, in 2011 the average annual salary for a player in the National Hockey League (NHL) were $780,000 and $1,800,000, although not necessarily in that order.  Which of these numbers, $780,000 and $1,800,000, is the mean and which is the median? Give a reason for your answer.

What does Jesus’s parable of the laborers in the vineyard (all hired at different hours) tell the reader about God’s character?

A group was tested for drugs. The table shows the results of the test along with actual drug use. Let D = event “Used Drugs”, N = event “No Drug Use”, + be “Test positive”, and finally – be “Test negative”Round each answer to 4 decimal places. (D or +) = [a] (N and +) = [b] (N | +) = [c] (+ | N) = [d]

The table below shows the head size of 30 male soldiers in inches. The head size was measured by wrapping a tape measure around the solder’s head. Construct a stem plot for the head size data set. If a stem has no corresponding leaves, put a dash, like this – .                                     Stems Leaves 24 [a] 25 [b] 26 [c] 27 [d] 28 [e] 29 [f] 30 [g] 31 [h] 32 [i]

Which of Jesus’s teachings prompted Nicodemus to say, “How can a man be born when he is old? Can he enter his mother’s womb a second time and be born?”