Question

A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be the random variable indicating the number of sessions required to gain the patient's trust.

f(x)= x/6 for x= 1,2 or 3

a) Is this probability function valid?

b) What is the probability that it takes exactly 2 sessions to gain the patient's trust?

c) What is the probability that it takes at least 2 sessions to gain the patient's trust?

What would the excel stats functions be if any?

Answer #1

A psychologist determined that the number of sessions required
to obtain the trust of a new
patient is either 1, 2, or 3. Let x be a random variable indicating
the number of sessions required
to gain the patient’s trust. The following probability function has
been proposed.
?(?) =
?
6
??? ? = 1,2, ?? 3
a) Construct a probability distribution for the number of sessions
required to gain the patient’s
trust.
b) Is this probability function valid? Explain....

1.a
Let X = the number of nonzero digits in a randomly selected
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1, 2, 3, 4
0, 1, 2, 3, 4, ...
0, 1, 2, 3, 4
0, 1, 2, 3
1, 2, 3, 4, ...
For the following possible outcomes, give their associated X
values.
PIN associated
value
1107
2070
7177
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using the formula that you used to obtain the probability.
b. Let X denote the number of technical fouls that this team
will commit during a given basketball game. Obtain the probability
distribution of X and present it in both graphical and tabular
format. [Use three digits after...

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If 16 of these cars are independently sampled, what is the
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Please name the probability distributions and calculate
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Round all probabilities to four decimal places and times
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a)...

A school psychologist wishes to determine whether a new
antismoking film actually reduces the daily consumption of
cigarettes by teenage smokers. The mean daily cigarette consumption
is calculated for each of eight teenage smokers during the month
before and the month after the fi lm
presentation, with the following results: (Note:
When deciding on the form of the alternative hypothesis, H
1 , remember that a positive difference score ( D 5
X 1 2 X 2 ) reflects a...

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(Round probabilities to four decimals and times to two
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a) What is the...

Based on the number of voids, a ferrite slab is classied as
either high, medium, or low. Historically, 5% of the slabs are
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1. Indicate if each of the following is true or false. If false,
provide a counterexample.
(a) The mean of a sample is always the same as the median of
it.
(b) The mean of a population is the same as that of a
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