A box contains blue, red, and green pens. 25% of the pens are green and 35% are red. 48 blue pens cannot be used, but the remain
ing 40% of the blue pens are usable
How many blue pens are there?
How many pens are there altogether in the box
How many blue pens are there?
How many pens are there altogether in the box
2 answers:
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Answer:
B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>
We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.
First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).
Second, the 10% condition: the 50 sales represent less than 10% of all purchases.
Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.
If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.
We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:
Then, we calculate the z-score
The probabilty can be calculated then as: