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jek_recluse [69]
3 years ago
7

A door-to-door salesman expects to make a sale 12% of the time when starting the day. But making a sale increases his enthusiasm

so much that the probability of a sale to the next customer is 0.38. If he makes no sale, the probability for a sale to the next customer stays at 0.12. What is the probability that he will make at least two sales with his first three visits?
Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

0.226458

Step-by-step explanation:

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Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a
spin [16.1K]

Answer:

Mean = 68.9

s^2 =18.1 --- Variance

Step-by-step explanation:

Given

\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5

For 59 - 66

x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5

For 67 - 74

x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5

For 75 - 82

x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5

For 83 - 90

x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5

So, the table becomes:

\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

The mean is then calculated as:

Mean = \frac{\sum fx}{\sum f}

Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}

Mean = \frac{2547.5}{37}

Mean = 68.9 -- approximated

Solving (b): The sample variance:

This is calculated as:

s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}

So, we have:

s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}

s^2 =\frac{652.8}{36}

s^2 =18.1 -- approximated

5 0
2 years ago
Sam bought some toys. He bought a baseball for $5.88, and paid $8.41
myrzilka [38]

Answer:

$5.71

Step-by-step explanation:

20-5.88=14.12

14.12-8.41=5.71

6 0
2 years ago
Read 2 more answers
Gorge was able to solve 36 math problems in 15 muinutes. Urban was able to solve 42 math problems in 20 muinutes. Who was able t
MrRissso [65]

Answer:

Urban, 2.1 mins

Step-by-step explanation:

36 ÷ 3 = 2 (Gorge's)

42  ÷ 2 = 2.1 (Urban)

3 0
3 years ago
A rectangular prism has a length of 13 feet, a height of 2 feet, and a width of 4 feet. what is its volume, to the nearest, in c
ioda

Answer:104ft^3

Step-by-step explanation:

volume=length x width x height

Volume=13 x 4 x 2

Volume=104ft^3

5 0
3 years ago
Use the reference angles to find the exact value of the expression cot -11 pi/6. Do not use a calculator
laiz [17]

Answer:

\sqrt{3}

Step-by-step explanation:

cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=\sqrt{3}≈1.73

7 0
3 years ago
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