Question: Can someone please help me with this problem? Problem 1) Suppose weekly income for students at KSU follows a Normal distribution with a mean of
Can someone please help me with this problem?
Problem 1) Suppose weekly income for students at KSU follows a Normal distribution with a mean of $225 and a standard deviation of $40.
- Suppose one student is randomly selected. What is the probability that this student's weekly income exceeds $310?
- According to the Empirical Rule, approximately 68% of students have weekly incomes between what two values?
- According to the Empirical Rule, approximately ____% of students have weekly incomes between $145 and $305?
- Suppose a student is randomly selected and his weekly income is $400. Would this be considered an outlier? Briefly support your answer.
Problem 2)Consider the discrete probability distribution shown below. The variable X represents the number of loads of laundry you do per week. Use the given distribution to answer the questions that follow.
x | 0 | 1 | 2 | 3 | 4 | 5 |
P(X = x) | 0.16 | 0.25 | 0.34 | 0.15 | 0.03 |
- What value for P(X = 4) makes this a valid probability distribution?
- What is the mean of this distribution? In other words, how many loads of laundry do you do per week, on average?
- Suppose a week is randomly selected. What is the probability that you do one or three loads of laundry this week?
- Suppose a week is randomly selected. What is the probability that you do fewer than three loads of laundry this week?
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