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True [87]
3 years ago
7

Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following stat

ements: (a) This event is impossible: [ Select ] (b) This event will occur more often than not, but is not extremely likely: [ Select ] (c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials: [ Select ] (d) This event will occur for sure: [ Select ]
Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

(a) 0

(b) 0.6

(c) 0.01

(d) 1

Step-by-step explanation:

Given

Probabilities: 0, 0.01, 0.3, 0.6, 0.99, and 1 ---> Missing information

Required

Match the probabilities with appropriate values

(a) Impossible:

An impossible event will always have a probability of 0

(b) Occurrence is more often than not, but not extremely likely:

An event that will occur more often than not will have a probability greater than 0.5 but less than 1

However, if the likelihood is not extremely likely, the probability will be closer to 0.5 and 1.

<em>The probability that matches this description is 0.6</em>

(c) Occurrence is extremely unlikely, but will occur once in a while

An event that is extremely unlikely will have a value greater than 0 and the value will be very close to 0.

<em>The probability that matches this description is 0.01</em>

(d) A certain event:

A certain event has a probability of 1

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The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

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To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

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