Mathematics, 14.04.2020 18:39 hargurgill20

A survey of 100 MBA students found that 75 owned mutual funds, 35 owned stocks, and 15 owned both. a. What is the probability that a student owns a stock? What is the probability that a student owns a mutual fund? b. What is the probability that a student owns neither stocks nor mutual funds? c. What is the probability that a student owns either a stock or a mutual fund?

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Answer from: shadley6825

(a) The probability of the event that a student owns a stock is 0.35.

The probability of the event that a student owns a mutual fund.

(b)The probability that a student owns neither a stocks nor mutual is 0.5.

(c)The probability that a student owns either a stocks or a mutual fund is 0.80.

Step-by-step explanation:

Probability:

Let the event space S of a given random experiment E be finite. If all the simple events connected to E be 'equally likely' then the probability of event A is defined as

$P(A)=\frac mn$

where n is total number of sample event and of these simple events are favorable.

Formula:

P(A∪B)=P(A)+P(B)-P(A∩B)

Given that,

A survey of 100 MBA students found that 75 owned mutual funds, 35 owned stocks and 15 owned both.

A = owned stocks

B= owned mutual funds

(a)

$P(A)=\frac{\textrm{Number of students who owned a stock}}{\textrm{Total nuber of students}}$

$=\frac{35}{100}$

=0.35

$P(B)=\frac{\textrm{Number of students who owned a mutual funds}}{\textrm{Total nuber of students}}$

$=\frac{75}{100}$

=0.75

The probability that a student owns a stocks=0.35.

The probability that a student owns a mutual funds=0.75.

The number of students who owned only a mutual fund

= Total number of students who owned a mutual fund - the number of students who owned both

=(75-15)

=60

The number of students who owned only a stock

= Total number of students who owned a stock- the number of students who owned both

=(35-15)

=20

The number students who owned either a stocks or a mutual fund or both is

= The number of students who owned only a mutual fund +The number of students who owned only a stock+the number of students who owned both

=60+20+15

=95

The number of students who owned neither a stocks nor mutual is

=100-95

The probability that a student owns neither a stocks nor mutual is

= $\frac{5}{100}$

=0.05

(c)

The number of students who owned either a stocks or a mutual fund is

=60+20

=80

The probability that a student owns either a stocks or a mutual fund is

$=\frac{80}{100}$

=0.80

Answer from: Quest

A. p = 2(l + w)p/2 - l = ww = p/2 - l b. while isolating the variable w in the equation, i first divided both sides by 2 and then i subtracted l from both sides. i hope this .

Answer from: Quest

true

step-by-step explanation:

according to the national european world center, the engineering of the ford company on elon musk's flame throwers proved the globalization of the natural wallabies and therefore, results in the growth product domestication in almonds.

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A survey of 100 MBA students found that 75 owned mutual funds, 35 owned stocks, and 15 owned both. a...