Q3: Rose collected 4 flowers in the morning and 3 in the evening. She continued the activity for 2 weeks. At the end of 2 weeks,
1 answer:
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The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
- Mean of 3 hours and 50 minutes
- Standard deviation of 30 minutes.
Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Learn more about the normally distributed data here;
Answer:
a) The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.
b) The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.
c) The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.
Step-by-step explanation:
For each smoker, there are only two possible outcomes. Either they started smoking before 21 years old, or they did not. Smokers are independent, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
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.
50% of adult smokers started smoking before 21 years old.
This means that
5 smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded.
This means that .
a) The probability that at least 2 of them started smoking before 21 years of age is
This is:
In which
The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.
b) The probability that at most 4 of them started smoking before 21 years of age is
This is:
In which
The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.
c) The probability that exactly 3 of them started smoking before 21 years of age is
This is P(X = 3). So
The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.