Question

16% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight

(a)P(3)=?

Answer #1

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This is an application of binomial distribution.

a. P(X=3) = ?

So, p(right) = p = .16

Using this in P(x,n,p) = nCx*p^x*(1-p)^(n-x)

P(3,12,.16)

= 12C3*.16^3*.84^9

**= 0.1876**

b. P(X>=4)

= 1-P(X<=3)

= 1-( P(X=0)+P(X=1)+P(X=2)+P(X=3))

=
1-(12C0*.16^0*.84^12+12C1*.16^1*.84^11+12C2*.16^2*.84^10+12C3*.16^3*.84^9)

= 1- 0.8886

**= 0.1114**

c. P(X<8)

= P(X<=7)

= P(X=0)+..+P(X=7)

= 12C0*.16^0*.84^12 +....+ 12C7*.16^7*.84^5

= 0.405491009 +..+0.000889122

**= 0.9999**

39% adults favor the use of unmanned drones by police agencies.
Twelve U.S. adults are randomly selected. Find the probability that
the number of U.S. adults who favor the use of unmanned drones by
police agencies is (a) exactly three, (b) at least four, (c)
less than eight.

17% adults favor the use of unmanned drones by police agencies.
Twelve U.S. adults are randomly selected. Find the probability that
the number of U.S. adults who favor the use of unmanned drones by
police agencies is (a) exactly three, (b) at least four, (c)
less than eight.

36% adults favor the use of unmanned drones by police agencies.
Twelve U.S. adults are randomly selected. Find the probability that
the number of U.S. adults who favor the use of unmanned drones by
police agencies is (a) exactly three, (b) at least four, (c)
less than eight.
A.) P(3)=
B.) P(x>4)=
C.) P(x<8)=
round to 3 decimal places

4.2.20 38% adults favor the use of unmanned drones by police
agencies. Twelve U.S. adults are randomly selected. Find the
probability that the number of U.S. adults who favor the use of
unmanned drones by police agencies is (a) exactly three, (b) at
least four, (c) less than eight.

Total
Gender
Adults
Men
Women
Do you favor or
oppose the use of unmanned drones by police agencies in the United
States?
Favor
36%
44%
27%
Oppose
39%
39%
39%
Not
sure
25%
17%
33%
Find the chi-square values of Gender.

61% of U.S. adults have very little confidence in newspapers.
You randomly select 10 U.S. adults. Find the probability that the
number of U.S. adults who have very little confidence in newspapers
is (a) exactly five, (b) at least six, and (c) less than
four.
(a) P(5) = ?
(Round to three decimal places as needed.)
(b) P(x≥6) = ?
(Round to three decimal places as needed.)
(c) P(x<4) = ?
(Round to three decimal places as needed.)

59% of U.S. adults have very little confidence in newspapers.
You randomly select 10 U.S. adults. Find the probability that the
number of U.S. adults who have very little confidence in newspapers
is (a) exactly five, (b) at least six, and (c) less than
four.

66% of U.S. adults have very little confidence in newspapers.
You randomly select 10 U.S. adults. Find the probability that the
number of U.S. adults who have very little confidence in newspapers
is (a) exactly five, (b) at least six, and (c) less than
four.

47% of U.S. adults have very little confidence in newspapers.
You randomly select 10 U.S. adults. Find the probability that the
number of U.S. adults who have very little confidence in newspapers
is (a) exactly five, (b) at least six, and (c) less than
four.

<40>
<
Men
Men
40+
<
Wom
Wom
40+
Do you favor or
oppose the use of unmanned drones by police agencies in the United
States?
Favor
40%
46%
26%
28%
Oppose
40%
38%
36%
40%
Not
sure
20%
16%
39%
32%
Find Chi-Square for <40> out of 1,000 Americans

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