The State of Nevada has seatbelt laws for drivers. It is known that 68 % of the drivers wear seatbelts. A sample of six drivers is selected. The average number of people you should expect to find wearing their seatbelt is A. 4.08
B. 3.34
C. 6.68
D. 4.26

A . 4.08

The average number of people you should expect to find wearing their seat belt is

 μ= n p   = 4.08

Step-by-step explanation:

Step(i):-

Given the probability that drivers wear seat belts

              p = 68% =0.68

Given sample size 'n' =6

we will use binomial distribution

mean of the binomial distribution μ= n p

step(ii):-

The average (0 r) mean of the binomial distribution

                                                  μ= n p  = 6 X 0.68 = 4.08

The standard deviation of the binomial distribution

                                            σ = √npq

                                               =

Final answer:-

The average number of people you should expect to find wearing their seat belt is

 μ   = 4.08

The standard deviation of the people you should expect to find wearing their seat belt is

σ = 1.142

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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step-by-step explanation:

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