Click Here to Access your Require X A Chapter 6 Homework - 2022FA - X Course Hero X Mathway | Algebra Problem Solve X + V X A webassign.net/web/Student/Assignment-Responses/submit?dep=30259141&tags=autosave#question4029214_4 D . . . New Tab G-Switch - Best Un... M Gmail YouTube Maps Step 9 (e) Compute o, the standard deviation of the number of fish caught per fisherman in a 6-hour period. Recall that the standard deviation is calculated using the formula o = \\ _(x - u)2p(x), where x is the value of a random variable, u is the expected value of x, P(x) is the probability of that variable, and the sum > is taken for all values of the random variable. Before taking the sum for all values, determine the exact value of (x - () for each event (let x = 4 for the value of "4 or more"). Recall that in part (d) we found that the expected value of the number of fish caught per fisherman is a = 0.75. 4 or more P(x ) 0.48 0.33 0.16 0.02 0.01 (0 - 0.75)2 (1 - 0.75)2 ( x - 1 ) 2 = 0.5625 = 0.0625 0.0625 1.5625 1.5625 5.0625 0 5.0625 10.5625 10.5625 Step 10 Now, use the information in the table to evaluate the formula for standard deviation. 4 or more P ( x ) 0.48 0.33 0.16 0.02 0.01 (x - 1) 2 0.5625 0.0625 1.5625 5.0625 10.5625 Find the sum of the products of (x - ) and P(x) for each event. Simplify and round the final answer to three decimal places. . = VZ (x -H ) 2P(x) V0.5625(0.48) + 0.0625(0.33) + 1.5625(0.16) + 5.0625 0.02 1 + 10.5625(0.01) 0.085 X So the standard deviation for the number of fish caught per fisherman, rounded to three decimal places, is 0.085 X Submit Skip (you cannot come back) Need Help? Read It Submit Ancur 54OF Cloudy Search LOCBEL O Co 11:11 PM 12/7/2022 20Click Here to Access your Require X A Chapter 6 Homework - 2022FA - X Course Hero X Mathway | Algebra Problem Solve X + V X ^ webassign.net/web/Student/Assignment-Responses/submit?dep=30259141&tags=autosave#question4029214_4 D . . . New Tab G-Switch - Best Un... M Gmail YouTube Maps (b) Find the mean and standard deviation of this probability distribution. Find the expected number of people in this sample who are illiterate. We will first find the mean. Recall that the mean of a binomial distribution is given by u = np. We previously determined that n = 9 and p = 0.2. Substitute the values for n and p into the formula and simplify to find u. u = np = 9 9 (0.2) = 1.8 1.8 people Step 4 We will now find the standard deviation. Recall that o = vnpq is the standard deviation for the random variable r, where q = 1 - p is the probability of failure on a single trial. We previously determined that n = 9 and p = 0.2. So, q = 0.8 0.8 Substitute the values for n, p and q into the formula and round the final answer to two decimal places. o = Vnpq = V 9(0.2) 0.8 0.8 = 1.2 1.20 people Step 5 Finally, we will find the expected number of people in this sample who are illiterate. Recall that for a binomial distribution the expected number of successes for the random variable r of a binomial distribution is equal to the mean, u = np. We previously determined tha Therefore, in a sample of 9 people we would expect to find approximately |2 x to be illiterate. Submit Skip (you cannot come back) Need Help? Read It Watch It Submit Answer 54OF Cloudy Search LOCBEL O Co 11:11 PM 20 12/7/2022Click Here to Access your Require X A Chapter 6 Homework - 2022FA - X Course Hero X Mathway | Algebra Problem Solve X + V X A webassign.net/web/Student/Assignment-Responses/submit?dep=30259141&tags=autosave#question4737566_5 D . . . New Tab G-Switch - Best Un... M Gmail YouTube Maps What is the standard deviation in the United States? (Round your answer to two decimal places.) Submitted 1.55 verdicts Need Help? Read it Watch It 3. [5/6 Points] DETAILS PREVIOUS ANSWERS BBBASICSTAT8 6.2.023.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose approximately 80% of all marketing personnel are extroverts, whereas about 55% of all computer programmers are introverts. (Round your answers to three decimal places.) In USE SALT (a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? 0.939 What is the probability that 5 or more are extroverts? 1.000 What is the probability that all are extroverts? 0.035 (b) In a group of 4 computer programmers, what is the probability that none are introverts? 0.041 What is the probability that 2 or more are introverts? 0.756 X What is the probability that all are introverts? 0.0915 Need Help? Read It Watch It Master It 4. [1/1 Points] DETAILS PREVIOUS ANSWERS BBBASICSTAT8 6.2.002. MY NOTES ASK YOUR TEACHER 54OF Cloudy Search LOCBEL O Co 11:12 PM 20 12/7/2022