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Answer:
d) The highest probability occurs when x equals 0.7500
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
a) The standard deviation is 0.8441
This is correct
b) The number of trials is equal to 15
n is the number of trials and . So this option is correct.
c) The probability that x equals 1 is 0.3658
This option is correct.
d) The highest probability occurs when x equals 0.7500
False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.
e) The mean equals 0.7500
This option is correct.
f) None of the above
d is false
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Answer:
see attached
Step-by-step explanation:
12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.
The baby was growing fastest in the first 3 months.
__
13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.
The second attachment shows a graph of the distance versus time.
_____
I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)
This is easy! Just use the point-slope form: 
Plug in the values:
-1 - 4 = m(2 - (-3))
Combine like terms
-5 = 5m
Divide both sides by 6
m = 5/-5 or
m = -1
Plug in the values:
-1 - 4 = m(2 - (-3))
Combine like terms
-5 = 5m
Divide both sides by 6
m = 5/-5 or
m = -1