S Tir ????? ????????? Learn???????? Assignments A ????? ??????? Assignments A K Random Variables and Distributions 3?5 Discrete probability distribution?Word problem involving??? The city of Fairview runs a swim league for teens aged 13 to 17?Suppose a swimmer from the league is randomly selected?Let \( X \) be the age?in years?of the selected swimmer?Here is the probability distribution of \( X \) ? \begin{tabular}{|c|c|c|c|c|c|} \hline Value \( \boldsymbol{x} \) of \( \boldsymbol{X} \) & 13 & 14 & 15 & 16 & 17 \\ \hline \( \boldsymbol{P}(\boldsymbol{X}=\boldsymbol{x}) \) & 0.28 & 0.21 & 0.18 & 0.18 & 0.15 \\ \hline \end{tabular} For parts?a?and?b?below?find the probability that the randomly selected swimmer has the age described? ?a?Younger than 16? \( \square \) ?b?Older than 14? \( \square \) www?awa?aleks?com ? ? \( \square \) \( \square \) \( \square \) \( \square \) \( \square \) ? Español ? ? Explanation Check
Added by Aaron M.
Close
Step 1
- \( P(X=13) = 0.28 \) - \( P(X=14) = 0.21 \) - \( P(X=15) = 0.18 \) - \( P(X=16) = 0.18 \) - \( P(X=17) = 0.15 \) Show more…
Show all steps
Your feedback will help us improve your experience
Rashmi Sinha and 70 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Nationally, $38 \%$ of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most children from receiving extra help from special education programs until they fall behind by approximately two years' worth of learning, and that typically means third grade or later (USA Today, September 6,2001 ). $$\begin{array}{rr} \text { Age } & \text { Number of Children } \\ 6 & 37,369 \\ 7 & 87,436 \\ 8 & 160,840 \\ 9 & 239,719 \\ 10 & 286,719 \\ 11 & 306,533 \\ 12 & 310,787 \\ 13 & 302,604 \\ 14 & 289,168 \end{array}$$ Suppose that we want to select a sample of children identified as learning disabled under special education for a program designed to improve reading ability. Let $x$ be a random variable indicating the age of one randomly selected child. a. Use the data to develop a probability distribution for $x$. Specify the values for the random variable and the corresponding values for the probability function $f(x)$ b. Draw a graph of the probability distribution. c. Show that the probability distribution satisfies equations (5.1) and (5.2)
Robin C.
A discrete random variable X can assume five possible values: 13, 14, 15, 16, and 17 with the following probability distribution: x 13 14 15 16 17 p(x) = P(X=x) 0.13 0.3 0.32 0.05 0.2 Find
Pritesh R.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD