### Problem Statement:If $ np \geq 5 $ and $ nq \geq 5 $, estimate $ P(\text{fewer than 4}) $ with $ n = 13 $ and $ p = 0.4 $ by using the normal distribution as an approximation to the binomial distribution; if $ np < 5 $ or $ nq < 5 $, then state that the normal approximation is not suitable.### Instructions:Select the correct choice below and, if necessary, fill in the answer box to complete your choice.#### Options:- **A.** $ P(\text{fewer than 4}) = \_\_\_\_ $ - Note: Round to four decimal places as needed. - **B.** The normal approximation is not suitable.---### Explanation of Concepts:- **Binomial Distribution:** A discrete probability distribution of the number of successes in a sequence of n independent experiments, where each experiment has a binary outcome (success/failure) with a constant probability of success, $ p $. - **Normal Approximation:** For a large number of trials $ n $, the binomial distribution $ B(n, p) $ can be approximated by a normal distribution $ N(np, \sqrt{npq}) $ if certain conditions, specifically $ np \geq 5 $ and $ nq \geq 5 $, are met. Here, $ q = 1 - p $. ---- **Given:** - $ n = 13 $ - $ p = 0.4 $ - **Calculate $ np $ and $ nq $:** - $ np = 13 \times 0.4 = 5.2 $ - $ nq = 13 \times 0.6 = 7.8 $ Since both conditions $ np \geq 5 $ and $ nq \geq 5 $ are satisfied, the normal approximation can be used.To find $ P(\text{fewer than 4}) $, convert the binomial variable to a normal variable and use the Z-score:- Mean ($ \mu $) = $ np $- Standard Deviation ($ \sigma $) = $ \sqrt{npq} $Calculate the Z-score and then find the corresponding probability from the standard

Identify the correct option to obtain the probability that X fewer than 4. The correct option is…

If np 25 and nq 25, estimate P(fewer than 4) with n= 13 and p = 0.4 by using the normal distribution as an approximation to the binomial distribution; if np< 5 or ng<5, then state that the normal approximation is not suitable. %3D %3D Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(fewer than 4)= (Round to four decimal places as needed.) O B. The normal approximation is not suitable.

If np 25 and nq 25, estimate P(fewer than 4) with n= 13 and p = 0.4 by using the normal distribution as an approximation to the binomial distribution; if np< 5 or ng<5, then state that the normal approximation is not suitable. %3D %3D Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(fewer than 4)= (Round to four decimal places as needed.) O B. The normal approximation is not suitable.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Create a excel graph for this binomial distribution: Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 60% Hispanic.a. How many jurors would you expect to be Hispanic? 7b. The select process produces a jury with 1 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places) 0.0833c. Use the binomial distribution and find the probability that 1 or fewer jurors would be Hispanic. 0.00031876706 Create a graph of the distribution with the area corresponding to the previous answer shaded in. Choices for creating a graph include: Excel, Binomial Distribution Calculator (in resources menu), TI-84 (take a pic), hand drawn, other software, websites. Upload your finished graph below.
Find the are below 13 for a N(15,5) distribution
10
using the chi-square distribution table, find the values for x2left and x2right of the following. when a=0.05 n=26 Final answer with 3 decimal points.
Explain how to decide when a normal distribution can be used to approximate a binomial distribution. Choose the correct answver below O A. If np 0 and nq > 0, the normal distribution can be used. O C. If np 5 and nq 5, the normal distribution can be used. O D. If np 2 5 and nq 5, the normal distribution can be used. Click to select your answer.
pls answer C
If np 25 and ng 2 5, estimate P(at least 4) with n= 13 and p = 0.4 by using the normal distribution as an approximation to the binomial distribution; if np <5 or ng < 5, then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(at least 4) = (Round to three decimal places as needed.) O B. The normal distribution cannot be used.
For binomial distribution, the mean is 4 and n = 8. what is π for this distribution?
X 6.3.10 Question Help Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of sizen=2 are randomly selected with replacement from the population of 2, 4, and 9. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n= 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 Construct the probability distribution table. Sample Probability Proportion (Type an integer or fraction.)
using the chi-square distribution table, find the values for x2left and x2right of the following. when a=0.05 n=26 Final answer with 3 decimal places.
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. SAT Crtical Reading Scores 200x400 511 125 200 400 B00 Scone The probability that the member selected at random is from the shaded area of the graph is 0 1468 (Round to four decimal places as needed)
* 00 R If np > 5 and ng 2 5, estimate P(more than 9) with n = 14 and p = 0.7 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or ng < 5 then state the normal approximation is not suitable State the correct choice below and, if necessary, fill in the answer box to complete your choice. a. P(more than 9) = [ Select] %3D b. The normal distribution cannot be used. [Select] < Previous Next NOV 1 23 MacBook Air 000 DD F7 000 F3 F4 F5 F8 $ 4 V 9. 6.