A rocket is launched from atop a 56-foot cliff with an initial velocity of 135ft/s.
1 answer:
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Answer:
(a) The probability the salesperson will make exactly two sales in a day is 0.1488.
(b) The probability the salesperson will make at least two sales in a day is 0.1869.
(c) The percentage of days the salesperson does not makes a sale is 43.05%.
(d) The expected number of sales per day is 0.80.
Step-by-step explanation:
Let <em>X</em> = number of sales made by the salesperson.
The probability that a potential customer makes a purchase is 0.10.
The salesperson contacts <em>n</em> = 8 potential customers per day.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The probability mass function of <em>X</em> is:
(a)
Compute the probability the salesperson will make exactly two sales in a day as follows:
Thus, the probability the salesperson will make exactly two sales in a day is 0.1488.
(b)
Compute the probability the salesperson will make at least two sales in a day as follows:
P (X ≥ 2) = 1 - P (X < 2)
= 1 - P (X = 0) - P (X = 1)
Thus, the probability the salesperson will make at least two sales in a day is 0.1869.
(c)
Compute the probability that a salesperson does not makes a sale is:
The percentage of days the salesperson does not makes a sale is,
0.4305 × 100 = 43.05%
Thus, the percentage of days the salesperson does not makes a sale is 43.05%.
(d)
Compute the expected number of sales per day as follows:
Thus, the expected number of sales per day is 0.80.
Answer:
- B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.
Step-by-step explanation:
<em>Refer to attached.</em>
Plot the point and connect in order FLAG.
<u>We see </u>
- FL ║ GA
- GF ║ AL
- FA and GL are not perpendicular
<u>All the above can be confirmed by calculating the slopes:</u>
- m(FL) = (3 - 5)/(6 - 1) = -2/5
- m(GA) = (1 + 1)/(-2-3) = -2/5
- These are same.
- m(GF) = (5 - 1)/(1 + 2) = 4/3
- m(AL) = (3 + 1)/(6 - 3) = 4/3
- These are same
- m(FA) = (-1 - 5)/(3 - 1) = -3
- m(GL) = (3 - 1)/(6 +2) = -1/4
- These are negative but not reciprocal
The quadrilateral is a parallelogram.
Correct choice is B
