Find the expected value.

Last semester in a business fraternity, 30% of the members were on the Dean's List and 15% of the members were on academic probation.  If being on the Dean's List and being on academic probation are mutually exclusive events, find the percent of members who were neither on the Dean's List nor on academic probation.

The only grades possible in a history course are A, B, C,D,F. The probability that a student will get an A is 0.19. The probability of getting a B is 0.31. The probability that a student will get a C is 0.28. The probability that the student will get a D is 0.18, and the probability of getting an F is 0.04 (a) what is  the probability that a student will an A or F.? (b) what is the probability that a person will get an A or B or C? (c) what is the probability that a student will get a C or a D? round your answer to decimal places

If you roll two dice, each with 8 faces,  what sum is most likely to appear from the two dice?   Write out each step and explain what you are doing in each step.

Shenise is a star player for her​ women's basketball team. She has injured her​ ankle, and it is doubtful that she will be able to play in an upcoming game. If Shenise can​ play, the coach estimates that the team will score 91 points. If Shenise is not able to​ play, the coach estimates that they will score 70 points. The team doctor estimates that there is a 70​% chance Shenise will play. Determine the number of points the team can expect to score.

AJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how many hours he slept each night. On the 4th night after he started the diary, AJ slept 9.4 hours, which was the most sleep he got any night. Gradually, he got less sleep each successive night until, on the 18th night after he started the diary, AJ slept 6.2 hours, which was the least sleep he got any night. After keeping his diary for 6 months, he realized that the number of hours he got each night followed a sinusoidal curve. Let t be the number of nights since he started his diary, and s be how many hours he slept that night. It may be helpful to draw a crude sketch of the sleep time function and label the known t − and s − values on it. POSITIVE or NEGATIVE SIN or COS Maximum s − value = Minimum s − value = ______________ ______________ Middle s − value = ______________ = D Amplitude = ______________ = A ⇒ B = ______________ Given the crude sketch of the height function, the…

Please solve practice question 2 and show the steps for the required areas. Please and thank you.

A student is on pace to complete 60% of the work in the course and to have 8 absences. Predict their overall mark in the course using the best predictor. Show your calculations below.

Experimental or Observational: A group of students is interested in knowing if the number of times they can sink a basketball is related to the color of the basketball. The students shoot a series of baskets and record their success using a regulation colored basketball.  They then switch to a blue colored basketball and shoot the same series of baskets.  .

A teacher was listening to some of her students talk about how many SnapChats they send during the day. The teacher decided that she wanted to conduct a study to see if the number of SnapChats a student sends per day affects how much time students talk to their friends face-to-face. So, the teacher let her 2nd period class continue sending Snaps as they always have. Then, the teacher told her 5th period that they were to not watch use SnapChat for a whole day. Then, the teacher had students record how many conversations they had with their friends during the week, gathered the data, and analyzed the results. c. What was the research question?