Create 4-6 discrete numbers. Create a probability for each number (making sure y
ID: 3260087 • Letter: C
Question
Create 4-6 discrete numbers. Create a probability for each number (making sure you obey the rules of probability). Find the mean and standard deviation for your set of discrete numbers using Ti-84. Describe the steps. Explain when to use binomcdf and binompdf. Give two examples of questions (using your scenario) of when to use binomcdf and one example of binompf. Give the arguments and explain/interpret your answer. (Do not use the same two as other groups) Ex. (Do NOT use Die/DICE for your example-no points given). Roll dice twice. Probability Exactly two heads. P (X = 2), binompdf (2, 50, 2) = 50 Here are some useful applications of the binomcdf and binomcdf commands: To find P (x = k), use binompdf(n, p, k) To find P (x lessthanorequalto k), use binomcdf(n, p, k) To find P (x k), use 1-binomcdf(n, p, k) To find P (x greaterthanorequalto k), use 1-binomcdf(n, p, k - 1)Explanation / Answer
Ans: A)
standard deviation=sqrt(variance)=sqrt(8.99)=3.00
Using Ti-84
Finding the mean, standard deviation, and variance of a discrete random variable X:
B)75% of the flights reach on time.17 flights are randomly choosen:
Find the probability that:
a)exactly 10 arrive on time.
b)fewer than 10 arrive on time
c)atleast 10 arrive on time
d)between 8 and 10(inclusive) reach on time.
n=17
Probability of success,p=0.75
Probability of failure,1-p=0.25
a)Binomial pmf
P(k=10)=17C10 0.7510 *0.257 =BINOMDIST(10,17,0.75,FALSE)=0.066845
6.68 % of the time 10 flights reach on time.
b)Binomial cdf
Probability that fewer than 10 reach on time i.e atmost 9 flights reach on time=P(k<10)=P(k<=9)
=BINOMDIST(9,17,0.75,TRUE)=0.04024
c)Binomial cdf
Probability tha at least 10 flights are on time=P(k>=10)=1-P(k<=9)=1-0.04024=0.95976
d)Binomial pmf or cdf
Binomial pmf is used.
Probability that between 8 and 10 flights reach on time i.e. 8 ,9 or 10 flights reach on time =P(8<=k<=10)
=P(k=8)+P(k=9)+P(k=10)
=BINOMDIST(8,17,0.75,FALSE)+BINOMDIST(9,17,0.75,FALSE)+BINOMDIST(10,17,0.75,FALSE) =0.0093+0.0279+0.0668
=0.1040
x 1 3 4 7 8 10 Total p(x) 0.4 0.15 0.2 0.1 0.05 0.1 1 x.p(x) 0.4 0.45 0.8 0.7 0.4 1 3.75 =mean (x-mean)2*p(x) 3.03 0.08 0.01 1.06 0.90 3.91 8.99 =variance 3.00 =std. Dev