The number X of days in the winter months that a construction crew cannot work because of the weather has the probability distribution xi 6 7 8 9 10 11 12 13 14 PX (xi) 0.03 0.08 0.15 0.20 0.19 0.16 0.1 0.07 0.02 a) Find the probability that less than 9 days will be lost next winter.
Added by Eugenia O.
Step 1
" From the given probability distribution, the values of \( x_i \) that are less than 9 are 6, 7, and 8. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Rosina Dapaah and 84 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
DISCRETE RANDOM VARIABLE Answer the following problem. Show your solutions. The number of days in the winter months that a construction crew cannot work because of the weather has the following probability distribution x | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 P(x) | 0.03 | 0.08 | 0.15 | 0.20 | 0.19 | 0.16 | 0.10 | 0.07 | 0.02 a. Find the probability that no more than ten days will be lost next winter. b. Find the probability that from 8 to 12 days will be lost next winter. c. Find the probability that no days at all will be lost next winter.
Rosina D.
The number $X$ of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \begin{tabular}{c|ccccc} & 6 & 7 & 8 & 0 & 10 \\ \hline$p(x)$ & 0.03 & 0.08 & 0.15 & 0.300 .10 \end{tabular} \begin{tabular}{c|cccc} & 11 & 12 & 13 & 14 \\ \hline$P(x)$ & 0.16 & 0.10 & 0.07 & 0.02 \end{tabular} a. Find the probability that no more than ten days will be lost next summer. b. Find the probability that from 8 to 12 days will be lost next summer. c. Find the probability that no days at all will be lost next summer. d. Compute the mean and standard deviation of $X$. Interpret the mean in the context of the problem.
Discrete Random Variables
Probability Distributions for Discrete Random Variables
The number X of days in the summer months that a construction crew cannot work because of the weather has the probability distribution: k: 6 7 8 9 10 P(X=k): 0.15 0.15 0.27 0.25 0.18 a) Explain why or why not the following table represents a valid probability distribution. b) Find the probability that 7 or more days will be lost next summer. c) Find the probability that 6 days OR 10 days will be lost next summer. d) Find the mean and variance of this distribution.
Sheryl E.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD