P(X) 12 8. k 2 1 4 8. 1, 3.
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Determine the value of k and compute for the mean of the following probability distributions.
![P(X)
12
8.
k
2
1
1,
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b761603-de40-46f9-afe8-a9c05ac0ea30%2F6d3cefba-6b96-4933-a651-82540cb43e92%2Fev4if5j_processed.png&w=3840&q=75)
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- Identify the following probability distributions as discrete or continuous. Justify your answer. a 012 3 4 5 6 7 8 9 10 b Probability Distribution of X 0.20 0.15 0.10 0.05 0.00 2 3 45 6 7 8 9 10 11 12 Outcome 10 FgegoldFor familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.If z is a standard normal random variable, find the probability.The probability that z lies above 1.12
- you grab 4 marbles from a bag containing 5 red marbles and 2 green marbles. Let X be the number of red marbles you grab. a. Complete yje probability distribution for X. Show all your work. x p(X=x)The Sarasota Police department collected data on the number of car accidents (X ) that occur each day on a certain stretch of route 41. From this data, they derived the probability distribution shown in the table below. X P(X) 0.80 1. 0.15 0.05 What is the expected mean (average) number of accidents that occur each day? O 0 50 1.00 O 0.33 O 0.25 O o OIf z is a standard normal random variable, find the probability.The probability that z lies above 2.13
- Rem. A concerned parents group determined the number of commercials shown in each of the five children's programs over a period of time. Num of Commercials P(X = x 1.824 0.078 2.081 0.05 2.338 0.101 2.595 0.134 2.852 0.07 3.109 0.567 Consider the probability distribution table above. Determine the following: (a) Determine the mean = (b) Determine the Standard DeviationDetermine the probability of each of the following by using the standard normal distribution tableFind the mean, variance, and standard deviation of the following probability distribution by completing the tables below.
- Susan collects data on three random variables, X, Y, and Z. She plots histograms of her data to help her decide which probability distribution is likely to be most suitable for each of these three random variables. (a) Based on the histogram below, which of the following distributions; Bernoulli; discrete uniform; continuous uniform; normal or exponential distribution is the most likely distribution for the random variable X? Abuanbaug 250 Frequency 200 150 100 (b) Based on the histogram below, which of the following distributions; Bernoulli; discrete uniform; continuous uniform or exponential distribution is the most likely distribution for the random variable Y? 120- 100 Histogram of X 20 Histogram of YBelow is a table of the estimated number of cell phones per household in a rural town. The number of cell phones, x, can be approximated by the following probability distribution.A fitness center bought a new exercisemachine called the Mountain Climber. Theydecided to keep track of how many people used themachine over a 3-hour period. Find the mean, variance,and standard deviation for the probability distribution.Here X is the number of people who usedthe machine. X 0 1 2 3 4 P(X) 0.1 0.2 0.4 0.2 0.1
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