Complete question :
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
Answer:
0.999
Step-by-step explanation:
Mean, m = 205 ; Standard deviation, s = 35
Z = (x - m) / s
x = 310
Z = (310 - 205) / 35 = 3
P(z < 3) = 0.99865
x = 10
Z = (10 - 205) / 35 = - 5.57
P(Z < - 5.5)
P(z < 3) - P(z < - 5.5)
0.99865 - 0
= 0.999
Answer:
Step-by-step explanation:
Question assumed: Find the probability that the number x of correct answers is fewer than 4.
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
-10(1) = w + 5.3
-10 = w + 5.3
-10 (-5.3) = w + 5.3 (-5.3)
w = -15.3
hope this helps
Answer:
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Step-by-step explanation:
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