In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below.to+134P(x)0.0960.3960.1350.0630.310 (e) What is the probability that a randomly selected student has a parent involved in three activities?The probability is:(Type an integer or a decimal. Do not round.)

Given X. 0. 1. 2. 3. 4 P(x). 0.096 0.396…

Answered: In the following probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Consider the following discrete probability distribution. x 33 34 35 36 37 38 39 40 P(x) 0.02 0.06 0.10 0.20 0.24 0.26 0.10 0.02 (a) Find the probability that the random variable x is at most 38. Don't round. (b) Find the probability that the random variable x is at least 35. Don't round.
NOTE: please follow the step in the given lesson below
K The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age 15-19 20-24 25-29 30-34 35-39 40-44 45-54 Number of Multiple Births (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)= (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) = 90 510 1622 2838 1845 373 119
A sociologist surveyed the households in a neighboring town and recorded the number of dependent children in the household. The following probability distribution was created based on the survey. Use the probability distribution to answer the following questions x 0 1 2 3 4 P(x) 0.07 0.20 0.38 0.22 0.13 True or false. The expected number of dependent children in the household must be a whole number because it represents what we expected to get in every household
A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?
High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below.
The number of household members, x, living in Cityville homes has the following probability distribution: 1 3 4 7 8 P(x) 0.21 0.28 0.16 0.22 0.06 0.04 0.02 0.01 What is the expected size of a household in Cityville? O 3.17 0 4.50 O 2.89 O 2.43
Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. x 1 2 3 4 5 Px 0.68 0.14 0.08 0.02 0.08 Send data to Excel Part 1 of 7 (a) Find P1 . P1 = .68 Part 2 of 7 (b) Find P (greater than or equal to 2 ). P (greater than or equal to 2 ) = .32 Part 3 of 7 (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is . Part 4 of 7 (d) Find the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is . Part 5 of 7 (e) Compute the mean μx .…
A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 1. If we replaced the yellow card in the first deck with another blue card, what would be the probability of drawing two blue cards? 2. If we replaced the yellow card in the first deck with another blue card, what distribution would the variable X follow?
A dentist studied the number of cavities filled in all of his patients over the last three years. Let X be the number of cavities filled in the last three years for a randomly chosen patient. The dentist found that the random variable, X, had the probability distribution shown in the table. Number of Cavities Probability 0 0.35 0 0.15 O 1.49 1.73 2.98 2 0.30 0.15 3 0.15 4 0.05 Let D be the difference in the number of cavities filled in two randomly selected patients. Assuming that cavities are filled independently of one another, what is the standard deviation of D?

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In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below. 1 2 3 4 P(x) 0.096 0.396 0.135 0.063 0.310