Statistics and Probability Answers

The result of a certain survey shows that out of 50 ordinary shops of
small size, 35 are managed by men of which 17 are in cities. 12 shops in
villages are run by women. Can it be inferred that shops run by women
are relatively more in villages than in cities ? Use chi-square test. ( Table
value of chi-square for one degree of freedom at 5% level is 3.841.

Apply the technique of ANOVA to the following data showing the yields
of 3 varieties of a crop each from 4 blocks, and test whether the mean
yields of the varieties are equal or not. Also test the equality of the block
means.
Varieties Blocks

I II III IV
A 4 8 6 8
B 5 5 7 8
C 6 7 9 5

What is the Probability that person has disease Dengue with neck Pain?
Given: 80% of time Dengue Causes neck Pain
P(Dengue)=1/30,000
P(Neckpain)=0.02

(9.3.2) Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d and sd. In​ general, what does alpha d ​represent?
Temperature (F) at 8am 98.4,98.8,97.3.,97.3,97.3,97.6
Temperature (F) AT 12am 98.8,99.1,97.7,97.0,98.1
d=?

Consider the network shown in the figure that interconnects nodes I and II. Compute the
reliability of component F if the reliability of the whole system is 0.6304. Assume that the
components operate independently.

The CIC Basketball team ,play 40 percent of their games at night and 60 percent during the day .the team wins 50 percent of their night games and 80 percent of their day games.If they win What is the probability the game is played at night, If they lose What is the probability the game is played at nigh ,solve by using Bayes’ Theorem?

Play Arts is launching a new line of Final Fantasy Seven figurines in celebration of Final Fantasy 7
Remake. The marketing team sent out an e-mail survey to Square Enix fans and discovered 40% of
respondents were Final Fantasy fans; 35% of respondents were Kingdom Hearts fans; and the rest were
Tomb Raider fans. 95% of Final Fantasy fans would purchase the figurines; 85% of Kingdom Hearts
fans would purchase the figurines; and 80% of Tomb Raider fans would purchase the figurines. Please
keep solutions exact to four decimal places.

(a) Show the information using the tree diagram Do not convert decimals to fractions
(b) P(Final Fantasy Fan | Fan would purchase the figurine)
(c) P(Kingdom Hearts fan | Fan would not purchase the figurine.

Leia is considering insuring against theft the new $300 CD-player she just installed in her automobile.
Her insurance agent tells her that such an option could be added to her present policy for $20 per year.
The agent further states that the probability of theft is 0.2 in a given year. If she takes the insurance,
what is her expected return per year?

Instructor Sara sends five random Class VII students to Nord for a field study. Currently, Class VII
contains six girls and eight boys. Please find the following. Keep your solutions exact to four decimal
places if needed.
(a) Calculate the sample space
(b) Find the probability if Sara sends only girls.
(c) Find the probability if Sara sends only boys.
(d) Find the probability if Sara sends three girls.
(e) Find the probability if Sara sends three boys.

Three girls and three boys are randomly seated in a row. Please find the following. Keep you solutions
to 4 decimal places if needed .
(a) Calculate the Sample Space
(b) What is the probability if boys and girls alternate?
(c) What is the probabillity that boys sit together; girls sit together?
(d) What is the probability that girls sit at the end seats?
(e) What is the probability that Millium sits at the left end?