Given f (x) = 6 (1- x), what is the value of f (-5)?
2 answers:
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Answer:
1). Mean = 2.275
2). Median = 2 vehicles
Step-by-step explanation:
From the given table,
Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.
0 11 0 11
1 52 52 63
2 66 132 129
3 35 105 164
4 19 76 183
5 12 60 195
6 5 30 200
Number of households = 200
Mean =
=
= 2.275
Median = value of observation
= value of observation
= Value of 100.5th observation
= Since 100.5th observation lies in the row of cumulative freq. = 129
= 2
Therefore, median number of registered vehicles per California household
= 2 vehicles
Answer:
a)0.62% probability that total sick leave for next month will be less than 150 hours.
b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.
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:
a.Find the probability that total sick leave for next month will be less than 150 hours.
This probability is the pvalue of Z when X = 150. So:
has a pvalue of 0.0062.
So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.
b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.
This is the value of X when Z has a pvalue of 0.90. So
225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.