Determine the probability distribution's missing value.The probability that a tutor will see 0, 1, 2, 3, or 4 studentsX 0 117P(x)O A.O B.O C.O D.VW NO NO2|710212 3212.4121

Given that, Probability distribution table at the values 0,1, 2, 3, 4. Then, we have to find…

Answered: Determine the 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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A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. Let X = the number of years a student will study ballet with the teacher. Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) P(x) x*P(x) 1 0.10 2 0.10 3 0.10 4 0.30 6 0.20 7 0.05 Additional Materials O Reading
Airlines sometimes overbook flights. Suppose that for a plane with 100 seats, an airline takes 110 reservations. Define the variable x as the number of people who actually show up for a sold-out flight. From past experience, the probability distribution of x is given in the table shown below. X 95 96 97 98 99 What if you are number 3? 0.23 100 p(x) 0.06 0.09 0.12 0.14 x 103 104 105 106 p(x) (a) What is the probability that the airline can accommodate everyone who shows up for the flight? 107 0.15 101 108 0.07 109 102 (b) What is the probability that not all passengers can be accommodated? 0.05 0.04 0.02 0.01 0.005 0.005 0.005 0.0039 0.0011 110 (c) If you are trying to get a seat on such a flight and you are number 1 on the standby list, what is the probability that you will be able to take the flight?
Answer and solve 1-4, show all work and calculator work.
Airlines sometimes overbook flights. Suppose that for a plane with 100 seats, an airline takes 110 reservations. Define the variable x as the number of people who actually show up for a sold-out flight. From past experience, the probability distribution of x is given in the table shown below. 95 96 97 98 99 100 101 102 P(x) 0.06 0.09 0.12 0.14 0.23 0.15 0.07 0.05 103 104 105 106 107 108 109 110 p(x) 0.04 0.02 0.01 0.005 0.005 0.005 0.0031 0.0019 (a) What is the probability that the airline can accommodate everyone who shows up for the flight? (b) What is the probability that not all passengers can be accommodated? (c) If you are trying to get a seat on such a flight and you are number 1 on the standby list, what is the probability that you will be able to take the flight? What if you are number 3?
You are playing a game where you draw a card from a standard deck, and you will win $7 if you draw a face card, $6 if you draw an ace and lose $2 if you draw any other card. Complete the probability distribution table. Let x be the winnings (which could be negative in the case of a loss). Remember to list the P(x) as a probability, not a percent. This problem is from the player's point of view. Card Face Ace Anything else $ x P(x) What is the expected gain from this game?
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 0 1 2 P(x) 0.03 0.3 0.04 X A. -0.85 B. 0.67 C. 0.48 OD. 0.52 3 0.11 ?
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students X 0 1 2 3 4 3 11 1 1 P(x) ? 16 32 4 32 5 O A. 16 11 OB. 16 3 ○ C. 16 7 O D. 32
The number of apps a developer sells daily has the probability distribution represented in the table. Number of Apps, x 0 P(x) 20 40 60 80 100 0.05 0.25 0.18 0.12 0.3 0.1 If each app sells for $5.99, what is the expected daily total dollar amount taken in by the developer from the sale of apps? ○ $5.99 $53.40 $59.90 ○ $314.22 ○ $319.87
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students X O oo 0 P(x) 0.45 OA. -0.93 OB. 0.54 OC. 0.46 D. 0.53 1 2 0.02 0.06 34 0.01 ?
A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an even numbered ticket.
The number of sodas a vendor sells daily has the probability distribution represented in the table. Number of Sodas, x 0 P(x) 5 10 15 20 25 0.01 0.15 0.25 0.3 0.25 0.04 If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas? $2.50 O $13.75 $14.50 $34.38 $39.42
2) Consider each distribution. Determine if it is a valid probability distribution or not and explain your answer. b, 2. 1. 2. P(x) 0.25 0.60 0.15 P(x) 0.25 0,60 0,20

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Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students X P(x) 0 1 1 2 7 7 2 3 2 21 ? 4 1 21