A number from 8 to 15 is drawn from a bag at random.What is the theoretical probability of drawing the number 12
1 answer:
Answer:
Step-by-step explanation:
In order to calcilate the probability of something to happen we need to knwo the total number of outcomes possible, in this case from 8 to 15, there are 8 numbers that can be drawn from the bag, if we want to draw only the number 12, there is only 1 possibility to draw it from the bag, then we just divide it:
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The numbers going to the left on a number line means the values are smaller and the numbers going to the right means the values are bigger.
Take the value '0' for example, the value on the right of zero is '1', which is a value bigger than zero, and the value to the left of '0' is '-1', which is a value smaller than zero.
Take the value '0' for example, the value on the right of zero is '1', which is a value bigger than zero, and the value to the left of '0' is '-1', which is a value smaller than zero.
Answer:
(a) The probability is 0.6514
(b) The probability is 0.7769
Step-by-step explanation:
If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:
Where a is the mean number of accidents per day and t is the number of days.
So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.
Then, the probability that a given day has no accidents is calculated as:
On the other hand the probability that February has at least one accident with a personal injury is calculated as:
P(x≥1)=1 - P(0)
Where P(0) is calculated as:
Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:
Finally, P(x≥1) is:
P(x≥1) = 1 - 0.2231 = 0.7769