Solve. Answer to the nearest thousandth. 83.49 x 1.48
2 answers:
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The probability would be 0.01458.
This is a binomial probability, since the probabilities are independent, there is a fixed number of trials, and there are two outcomes (either a 0 or not a 0). We use the formula:
The probability of any of the digits being drawn is 1/10. Then we have:
This is a binomial probability, since the probabilities are independent, there is a fixed number of trials, and there are two outcomes (either a 0 or not a 0). We use the formula:
The probability of any of the digits being drawn is 1/10. Then we have:
Answer:
1.22% of batteries last less than 5 years
Step-by-step explanation:
Problems of normally distributed samples can be 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 proportion of batteries fail to meet the guarantee? In other words, what proportion of batteries last less than 5 years?
This is the pvalue of Z when X = 5. So
has a pvalue of 0.0122
1.22% of batteries last less than 5 years