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Suppose you were to flip a fair coin 12 times and you recorded the number of “Tails” that you received. Find the probability that you would get anywhere from 4 to 10 “Tails”. Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23.

Suppose you were to flip a fair coin 12 times and you recorded the number of “Tails” that you received. Find the probability that you would get anywhere from 4 to 7 “Tails”. Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23.

Michael Jordan made 49.7% of all of his shots throughout his career. If he were to play in a basketball game and attempt 42 shots, how many would he be expected to make? Make sure to round your answer to the nearest integer. 

A study was conducted to determine how movie lengths vary based on genre. As a part of that larger study, it was found that the average length of all movies is 117 minutes. Assume this data is normally distributed with a standard deviation of 26 minutes. Use this information to answer the following question.  What is the probability that a randomly selected movie is either shorter than 100 minutes or longer than 140 minutes? Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.654321 then you would type in 0.65. 

Suppose you roll a standard 6-sided die and you recorded the number of times that you ended up rolling an even number. Find the probability that you would get no less than 4 even numbers out of 5 rolls of the dice. Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23.

Suppose you have a standard deck of 52 playing cards and you randomly select 1 card and record whether or not the card that you drew was a “club”. You then return to the card back to the deck and repeat this process a total of 6 times so that you end up drawing 6 cards total. Find the probability that more than 3 of the 6 cards that you drew were clubs.  Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23. Note: In a standard deck of playing cards, 13 of them are clubs and 39 of them are not. 

Suppose you are carrying out a hypothesis test at the

Eliza had a long commute to work each day and she was always worried about running late. When it came to distance, both drives were the same number of miles from her home, but one of them had a few more stoplights on her way. She wanted to find the most consistent route so she could know exactly how long it would take her to go to work each day. She decided to travel each route 30 times and recorded how long it took each time to make an informed decision. On her 30 trips using route A, she took an average of 40 minutes with a standard deviation of 4.2 minutes. On her 30 trips using route B, she took an average of 40 minutes with a standard deviation of 6.6 minutes. Assume the commute times using both routes are normally distributed.  Use this information to carry out the appropriate hypothesis test at the

A potato chip manufacturer was building a new manufacturing plant, and they were trying to decide whether or not they wanted to change the equipment/machine they were currently using to bag the potato chips. They had noticed a wide variability in the weight of the potato chip bags that were being produced with their current equipment, and they wanted to reduce the variability. Therefore, they decided to determine if a newer machine would help them reduce the variability in the weights of the bags. They randomly sampled the weights of 50 bags from their current machine and 50 bags from the new machine and both of them recorded an average weight of 10 ounces. However, the current machine had a standard deviation of 0.14 ounces and the new machine had a standard deviation of 0.11 ounces. Carry out the appropriate hypothesis test at the

Suppose you were to flip a fair coin 7 times and you recorded the number of “Tails” that you received. Find the probability that you would get exactly 7 “Tails” out of 7 coin tosses.  Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23.