Statistics and Probability Answers

. John is a very forgetful person, especially when it comes to his umbrella. Suppose that in the town where John lives, the probability that it is raining on any given day is 0.6. Furthermore, suppose that on 40 percent of all days, it is both raining and John has forgotten his umbrella, leaving it at home.
3.1 Calculate the probability that on a rainy day, John will forget his umbrella.
3.2 Suppose John realized that given it is not raining, he has not forgotten his umbrella 80 percent of the time. Find the probability that, regardless of the weather, John forgets his umbrella.
3.3 When he was driving to work, John realizes that he has forgotten his umbrella. Knowing this, what is the probability that it is raining outside?

Supposed you just received a shipment of fourteen televisions . Three of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work

Weighted Average Grade (missing grade). Suppose that your grade for the class is dependent upon four marking periods (MP1, MP2, MP3, MP4), each worth 20%, a midterm (MT) worth 10%, and a final exam (FE) worth 10%. Also, you have yet to take the final exam, and you want to earn a 90 average for the year. Your grades so far are given below. What score do you need to earn on the final exam in order to obtain a 90 for the year?

Grade/Term MP1 89 MP2 93 MT 85 MP3 88 MP4 94 FE

Weighted average (missing value).Solve the equation for x.

30(2)+40(3)+36(3) +5x/10=34.8

The annual rainfall at a certain locality is known to

be normally distributed random variable with

mean value equal to 29.5 inches and standard

deviation of 2.5 inches. How many inches of rain

(annually) exceeded about 5% of time.​

The weights of a women population are normally distributed with mean 60kg and standard deviation 5kg. Find the probability that the weight of a woman chosen at random is between 61 and 65kg.

A social scientist claims that only 70% of all high school seniors capable of doing college work actually go to college. If a sample of 15 people are chosen, find probability that more than 13 people actually go to college.

It is presentation day in class and your instructor is drawing names from a hat to determine the order of the presentations. if there are 18 students in the class, what is the probability that the first 2 presentations will be by Kelly and harmony, in that order? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

TRUE OR FALSE

6. The z score is actually the number of standard deviations that a particular x value is away from the mean.

7. The central limit theorem tells us that if the sample size is large enough, the shape of the distribution of sample means approaches
a normal distribution.

8. A coin is tossed. If a head occurs, then you gain 1 peso and if a tail occurs, then you gain nothing. The expected gain in tossing the
coin is 50 centavos.

9. When the mean is computed for individual data, all values in the data set are used.

10. The positive square root of a variance is called the absolute value.