It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0

2 years ago

Which of these is a geometric experiment? A. Drawing 1 card from each of 5 different decks of cards and getting 2 clubs B. Flipp

Mrac [35]

Answer:

Step-by-step explanation:

ROLLING A DIE AND GETTING YOUR FIRST FOUR ON THE 6TH ROLL

4 0

3 years ago

Pls help WILL GIVE BRAINLIST

myrzilka [38]

Answer:

135.94 feet

Step-by-step explanation:

Split the problem into two parts :

Distance between viewer and building
Height of the top part of the building

Distance between viewer and building

The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
Let the distance be called 'd'
Therefore, tan37° = 40/d
tan37° = 3/4 = 0.75
⇒ 40/d = 0.75
⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet

Height of the top part of the building

Let the height of the top part be 'h'
Therefore, tan61° = h/d = h/53.3
tan61° = 1.8
⇒ h/53.3 = 1.8
⇒ h = 53.3 x 1.8 = 95.94 feet

Total height of building

Lower part + Top part
40 + 95.94
135.94 feet

3 0

2 years ago