### Survey on the Price Paid for Smartphone AppsA survey was conducted among fifty individuals to determine how much they paid for the last smartphone app they purchased. Below are the collected data:#### Data Table| Price, $ x $ | Number of People ||----------------|------------------|| $1.00 | 18 || $2.00 | 16 || $3.00 | 11 || $4.00 | 2 || $5.00 | 2 || $6.00 | 0 || $7.00 | 1 |Let the random variable $ X $ be the price paid for the app, and let $ f(x) = P(X = x) $ be the probability mass function based on the survey. Answer the questions from parts a through e.#### a) Write $ f $ as a Set of Ordered PairsTo write $ f $ as a set of ordered pairs, use integers or decimals, and separate answers with a comma. Do not include the \$ symbol.##### HistogramChoose the correct histogram that represents the probability distribution from the options A, B, C, and D shown below.#### b) Find the Cumulative Probability Function $ F $Below is the cumulative probability function table to be filled out based on the data:| $ x \leq \text{t} $ | $ F(X) $ ||-----------------------|--------------|| $ t < 1 $ | || $ 1 \leq t < 2 $ | || $ 2 \leq t < 3 $ | || $ 3 \leq t < 4 $ | || $ 4 \leq t < 5 $ | || $ 5 \leq t < 6 $ | || $ 6 \leq t < 7 $ | || $ t \geq 7 $ | |#### Questions##### c) Find $ f(4) $\[ f(4) = \_\_\_ \]**What does $ f(4) $ represent?**- A. The probability that a randomly selected person did not pay $4 for an ### Understanding Probability in App PricesIn the following exercises, we will explore various probabilities related to the price paid for an app. We will use mathematical functions to determine these probabilities and interpret what they represent. Review the questions and the possible answers carefully to understand each concept.#### Question d**d) Find $ 1 - f(4) $**- **$1 - f(4) = $□ (Type an integer or a decimal.)****What does $1 - f(4)$ represent?**- **A.** The probability that a randomly selected person paid less than $4 for an app- **B.** The probability that a randomly selected person paid more than $4 for an app- **C.** The probability that a randomly selected person paid at least $4 for an app- **D.** The probability that a randomly selected person paid at most $4 for an app- **E.** The probability that a randomly selected person paid $4 for an app- **F.** The probability that a randomly selected person did not pay $4 for an app**Find $ 1 - F(4) $**- **$1 - F(4) = $□ (Type an integer or a decimal.)**#### Question F**What does $ F(4) $ represent?**- **A.** The probability that a randomly selected person paid at most $4 for an app- **B.** The probability that a randomly selected person paid less than $4 for an app- **C.** The probability that a randomly selected person paid at least $4 for an app- **D.** The probability that a randomly selected person did not pay $4 for an app- **E.** The probability that a randomly selected person paid more than $4 for an app- **F.** The probability that a randomly selected person paid $4 for an app**What does $ 1 - F(4) $ represent?**- **A.** The probability that a randomly selected person paid $4 for an app- **B.** The probability that a randomly selected person did not pay $4 for an app- **C.** The probability that a randomly selected person paid at least $4 for an app- **D.** The probability that a randomly selected person paid less

Given that: X is a random variable that denotes the price paid for the app.

Fifty people were asked how much they paid for the last smartphone app they purchased. These data were collected. Let the random variable X be the price paid for the app, and let f(x)=P(X-x) be the probability mass function based on the result of this survey. Answer parts a through e below. Price, x $1.00 $2.00 $3.00 $4.00 $5.00 $6.00 $7.00 ▬▬▬▬▬▬▬▬▬ ▬▬▬ Number of People 18 16 11 2 2 0 1

Fifty people were asked how much they paid for the last smartphone app they purchased. These data were collected. Let the random variable X be the price paid for the app, and let f(x)=P(X-x) be the probability mass function based on the result of this survey. Answer parts a through e below. Price, x $1.00 $2.00 $3.00 $4.00 $5.00 $6.00 $7.00 ▬▬▬▬▬▬▬▬▬ ▬▬▬ Number of People 18 16 11 2 2 0 1

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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