Let the number be X, then we find
Carly commutes to work, and her commute time is dependent on the weather. When the weather is good, the distribution of her comm
2 answers:
Answer:
Step-by-step explanation:
a) Probability that the commute time of Carly is greater than 25 minute when the weather is good
This is writtesn as , where A represents a numerical value or a condition.
Substituting the value of A, we get -
Here mean and standard deviation
Now we will find the z value for give x value -
As we know -
Substituting the available values , we get -
Now, probability that the commute time of Carly is greater than 25 minute when the weather is good is equal to probability value as compared to the corresponding z values
Thus, probability that the commute time of Carly is greater than 25 minute when the weather is good
b) Probability that the commute time of Carly is greater than 25 minute when the weather is not good
Substituting the available values , we get -
Now, probability that the commute time of Carly is greater than 30 minute when the weather is good is equal to probability value as compared to the corresponding z values
Thus, probability that the commute time of Carly is greater than 25 minute when the weather is good
Final Probability -
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Answer:
a) Binomial distribution B(n=12,p=0.01)
b) P=0.007
c) P=0.999924
d) P=0.366
Step-by-step explanation:
a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.
b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.
Then,
c) In this case, the distribution is B(1200,0.01)
d) In this case, the distribution is B(100,0.01)
We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.
Answer:
The correct option is 4) 0.72.
Step-by-step explanation:
Consider the provided information.
Let us consider that there are 100 members.
(Note: you can take any number the answer will remain the same.)
90% of its members drank protein shakes and of the members who drank protein shakes.
90% of 100 is 90.
Thus, 90 members drank protein shake.
Of the members who drank protein shakes, 30% took weight-loss medication.
30% of 90 is 27.
That means 27 out of 90 took weight loss medication.
Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.
Only 10% of members who did not drink protein shakes took weight-loss medication.
10% of 10 is 1, that means 1 member out of 10 took weight loss medication.
Thus the required table is:
Medication Not Medication Total
Drank shakes 27 63 90
Doesn't Drank shakes 1 9 10
Total 28 72 100
Now we need to find the probability that a gym member does not take weight-loss medication.
72 out of 100 members does not take weight-loss medication.
Therefore, the required probability is:
Hence, the correct option is 4) 0.72.