Dorcas has an advantageous TV. The TV uses two batteries and both of them are dead.

Influence opens another pack of four incredible batteries and dumps them on the table.

By then he opens the TV and dumps the two dead batteries on the table with the extraordinary ones.

The batteries get worked up and Bob no longer acknowledges which can't avoid being which. (Has this consistently happened to you?)

In the occasion that Bob removes two batteries from the table aimlessly and spots them into the TV, what is the probability that he picked two incredible batteries and that the TV will work?

The typical joblessness rate in California in August 2020 was 11.4%.

2)Assume that 550 employable people in California were picked discretionarily in August 2020.

What is the for the most part expected worth of the amount of people in the model who were jobless?

Round your reaction to one decimal point

3)A deck of 52 playing a round of cards involves four suits, each with thirteen cards.

In a particular game, a hand involves eleven cards picked discretionarily without replacement.

What is the probability that a hand will have unequivocally 7 cards in a comparable suit?

Round your reaction to three decimal spots.

Merciful help! Thankful to you

Accept that in a particular country, the probability of having red hair is 0.20, and the probability of having blue eyes is 0.30. The probability of having the two characteristics is 0.06. The probabilities are showed up in the Venn diagram, where ?An is the event that a self-assertively picked inhabitant of this country has red hair, and ?B is the event that a heedlessly picked tenant has blue eyes.

A not B Both B not A

0.14 0.06 0.24

A=0.20 B= 0.30

Determine the unexpected probability of an individual having blue eyes given that the individual being referred to has red hair, and use the value to choose if having blue eyes and red hair are self-ruling.

P(B/A=)

@30@

Having red hair is? of having blue eyes considering the way that?

a) Market research has shown that 60% of individuals who are familiar with a particular thing truly buy the thing. A discretionary illustration of 15 individuals were familiar with the thing.

I. Describe the variable of interest for the present circumstance.

ii. What probability dissemination do you think best portrays the condition? Why?

iii. Process the probability that accurately 9 will buy the thing.

iv. If 80 individuals are familiar with the thing, choose the amount of person who are needed to buy the thing.

b) It is understood that a typical of 5 trains go through Grand Central Terminal predictably. Find the probability that

I. Absolutely 4 trains will pass rapidly

ii. under 2 trains will pass in an hour

The going with table summarizes the amount of understudies at Kiddies Head start Preschool, characterized by the understudies' sex and whether they have a spot with the infant kid or child region

Child

Child

Complete

Male

12

28

Female

34

26

Supreme

100

a) An understudy is picked aimlessly. Find the probability that

the understudy is male and a young kid

the understudy is female or an infant youngster

iii. the understudy is an infant kid, given that they are female.

b) Are the events 'Infant kid' and 'Female' Mutually Exclusive? Legitimize your Reaction

c) Are the events 'Infant kid' and 'Female' Independent? Legitimize your response

\fQuestion 2 (10 points) You are doing an analysis of the effect of Online Display Spend on Unit Sales. You take monthly data for 2013 and 2014. The results are in the table below Online Unit Display Month Sales Spend Jan-13 98406 132187.6 Feb-13 153744 126776.4 Mar-13 168724 207979 Apr-13 154624 282075.3 May-13 146089 265082.1 Jun-13 193561 252778.2 Jul-13 135527 169206.2 Aug-13 149635 258368.3 Sep-13 179303 336728.1 Oct-13 126272 424418.9 Nov-13 172392 707290.1 Dec-13 557188 1385744 Jan-14 91204 295802.2 Feb-14 141265 299078.7 Mar-14 166799 176171.7 Apr-14 139206 122481.2 May-14 140872 109685.1 Jun-14 173589 48629.22 Jul-14 104673 49552.29 Aug-14 153934 69884.64 Sep-14 101116 47529.99 Oct-14 96238 97702.32 Nov-14 208671 757335.6 a. Your hypothesis is that spending on Online Display ads will increase unit sales. Calculate the Covariance and Correlation Coefficient. Do the results support your hypothesis?Determine the value for c and the covariance and correlation coefficient for the joint probability mass function fxy (x, y) = c(x + y) for x =1, 2, 3 and y =1, 2, 3. Determine the covariance and correlation coefficient for the joint probability lensity function fry (x, y) = e * yover the range x>0 and y>0