6. Clinical trials have shown that 90% of the patients with severe migraine experience relief of their pain after taking the drug Nimodipine. Suppose 15 migraine patients try Nimodipine. What is the probability all of the patients experience relief? а. b. What is the probability only 10 patients experience relief? с. What is the probability at least 12 patients experience relief? d. What is the probability at most 10 patients experience relief? e. How many are expected to experience relief?

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Please do only sub-part "d" for Q6 and also do only sub-part "d" for Q9.

Don't use excel formula to solve the question.

### Clinical Trials and Probability

Clinical trials have shown that 90% of the patients with severe migraine experience relief of their pain after taking the drug Nimodipine. Suppose 15 migraine patients try Nimodipine.

#### Questions:

a. What is the probability **all of** the patients experience relief?

b. What is the probability **only 10** patients experience relief?

c. What is the probability **at least 12** patients experience relief?

d. What is the probability **at most 10** patients experience relief?

e. How many are expected to experience relief?
Transcribed Image Text:### Clinical Trials and Probability Clinical trials have shown that 90% of the patients with severe migraine experience relief of their pain after taking the drug Nimodipine. Suppose 15 migraine patients try Nimodipine. #### Questions: a. What is the probability **all of** the patients experience relief? b. What is the probability **only 10** patients experience relief? c. What is the probability **at least 12** patients experience relief? d. What is the probability **at most 10** patients experience relief? e. How many are expected to experience relief?
**Problem 9: Analysis of Walleye Weights in a Lake**

The weights of walleye in a lake are normally distributed with a mean of 4.8 pounds and a standard deviation of 1.3 pounds.

**Questions:**

a. What percentage of walleye weighs below 3 pounds?

b. What percentage of walleye weighs between 2 and 7 pounds?

c. The Department of Natural Resources (DNR) decided to catch the bottom 10% of the walleye and release them to another lake. What weight must a fish have in order to be relocated to the other lake?

d. Find the 95th percentile of the weights of walleye.
Transcribed Image Text:**Problem 9: Analysis of Walleye Weights in a Lake** The weights of walleye in a lake are normally distributed with a mean of 4.8 pounds and a standard deviation of 1.3 pounds. **Questions:** a. What percentage of walleye weighs below 3 pounds? b. What percentage of walleye weighs between 2 and 7 pounds? c. The Department of Natural Resources (DNR) decided to catch the bottom 10% of the walleye and release them to another lake. What weight must a fish have in order to be relocated to the other lake? d. Find the 95th percentile of the weights of walleye.
Expert Solution
Step 1

Since you have posted multiple questions, we will solve the first question. To get the remaining question solved please repost a complete question and mention the sub-parts to be solved.”

Given that,

p = 90%

n = 15

Here trials are fixed and probability is the same for all outcomes.

Only two outcomes are there, experience relief or not.

Hence binomial distribution will use in this situation.

 

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