You owe 12% interest each year on a $500 loan. If you make no payments and take no additional loans, what will the loan balance
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Answer:
17.3 cigarettes represent the 35th percentile
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What number of cigarettes would represent the 35th percentile?
This is the value of X when Z has a pvalue of 0.35. So it is X when Z = -0.385.
So
17.3 cigarettes represent the 35th percentile
Answer:
Step-by-step explanation:
The general formula for a probability is:
The favorable events for the cube to fall in a even number are:
2, 4, and 6 ⇒ <u>3 favorable events</u>
and in the cube the total events are:
1, 2, 3, 4, 5, 6 ⇒ <u>6 total events</u>
So the probability of rolling an even number in the cube is:
Now we do something similar to find the probability to choose a card with an even number.
The favorable events for an even numbered card are:
2, 4 ⇒<u> 2 favorable events</u>
and the total number of events in the cards is:
1, 2, 3, 4, 5 ⇒ <u>5 total events</u>
Thus, the probability to choose an even numbered card (according to the probability formula) is:
And finally, since we want both things to happen we must multiply both obtained probabilities:
- the probability that he will roll an even number and choose an even numbered card:
The probability is 1/5 which is equal to 0.2 or 20%