Could you solve the questions please? THANK YOU SO MUCH!!!
Classify the following random variable according to whether it is discrete or continuous. the number of bottles of juice sold in a cafeteria during lunch A) discrete B) continuous the heights of the bookcases in a school library A) continuous B) discrete the cost of a road atlas A) discrete B) continuous I the pressure of water coming out of a fire hose A) continuous B) discrete the temperature in degrees Celsius on January 1st in Fargo, North Dakota A) continuous B) discrete Given the table of probabilities for the random variable x, does this form a probability distribution? Answer Yes or No. X 5 10 15 20 P(x) 0.10 -0.30 0.50 0.70 A) No B) Yes Consider the discrete probability distribution to the right when answering the following question. Find the probability that x exceeds 5. x | 3 5 7 8 P(x) 0.26 2 0.02 0.28 A) 0.3 B) 0.74 C) 0.7 D) 0.44 Choose an American household at random and let the random variable X be the number of cars (including SUVs and light trucks) they own. Here is the probability model if we ignore the few households that own more than 5 cars: Number of cars X: 0 1 2 3 4 5 Probability: 0.09 0.36 0.35 0.13 0.05 0.02 A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold? (a) 13% (b) 20% (c) 45% (d) 55% (e) 80% What is the expected number of cars in a randomly selected American household? (a) Between 0 and 5 (b) 1.00 (c) 1.75 (d) 1.84 (e) 2.00It is estimated that 4% of people who spend time in the woods will get Lyme disease. Of people with Lyme disease, the test to determine if you have it will give a positive reading 97% of the time. Of people who do not have Lyme disease, the same test will give a negative rating 92% of the time, Make a tree diagram for this problem and then answer the following questions. Find the probability that. a) the person gets a positive reading b) the person gets a positive reading and Lyme disease c) the person gets a positive reading d) if a person gets a positive reading. or has Lyme disease he has Lyme disease e) if a person gets a negative reading, () if a person has Lyme disease, he doesn't have Lyme disease he gets a negative reading SHow work! A Tree diagram of Table would be helpful.Medi-Mart has just come out with a new pregnancy test that registers blue (indicating a pregnancy) in 95% of users who are pregnant. However, the new monitor also registers blue in 5% of the users who are not pregnant. Suppose that, in reality, only 4% of women using this test are pregnant. 'a) Construct a table or draw a tree diagram that reflects the situation, including probabilities or counts. (b) "blue" result? What is the probability that a randomly selected woman who uses this test gets a (c) What is the probability that the woman actually is pregnant given that the test registers blue? At a certain college 80% of the freshman are enrolled in English, 70% are enrolled in Mathematics, and 65% are enrolled in both courses. A freshman is to be randomly selected. (a) Construct a two-way table showing this information. (b) What is the probability that a freshman is enrolled in English or Mathematics? (c) What is the probability that the freshman is enrolled in English, given that the student is enrolled in Mathematics
