The probability Kayla will score above 70% on a mathematics test is 0.60. Kayla will take five tests this semester. We want to find the probability she will score above 70% on exactly four out of the five tests. What is the value of x in this scenario? 2. The probability that the same Kayla will score above 80% on a mathematics test is 0.70. Kayla will take four tests this semester. We want to find the probability she will score above 80% on exactly three out of the four tests. What is the probability of Kayla scoring above 80% on exactly three out of the four tests?

What best describes the relationship between the calculated theoretical probability and the empirical probability?   a The theoretical probability must always equal the empirical probability.   b The theoretical probability will never equal the empirical probability.   c The empirical probability should get closer to the theoretical probability the more times you do the experiment.   d The empirical probability describes what should happen and the theoretical probability describes what was observed.

a certain city, projections for the next year indicate there is a 20% chance that electronics jobs will increase by 1400, a 50% chance that they will increase by 400, and a 30% chance they will decrease y 700. Find the expected change in the number of electronics jobs in that city in the next year. he expected change is an increase of jobs.

Due to current pandemic we are having online classes, Harish is also having online classes. He is having a quiz this weekend. In the quiz, Harish either guesses (or) copies from net(or) knows the answer to a multiple-choice question with 4 choices. Probability that he makes a guess is 1/3. He copies the answer is 1/6. The probability that his answer is correct given that he copied it is 1/8. Find the probability that he knew the answer to the question. Given that he correctly answered it.

UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTION LEGIBLY AND DRAW THE NECESSARY DIAGRAMS. ANSWER IN 3 DECIMAL PLACES. NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWER.

Please solve step 2,3,4 …thank you!

Please help solve part (b) and (c) on this question. Suppose that the probability that a passenger will miss a flight is 0.0907. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 52 passengers. (b) Suppose that 58 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 230 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%? **THIS IS NOT A GRADED QUESTION, IT IS PRACTICE HOMEWORK**

Please solve these questions

Please don't copy.

Answer this step by step and justify your solution ASAP