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Bumek [7]
3 years ago
13

On a game show, Elena is given the choice of three doors: Behind one door is the Grand Prize; behind the others, consolation pri

zes. She picks Door A, and the host, who knows what is behind each door, opens Door B, revealing a consolation prize. The host then offers Elena the opportunity to change her selection to Door C. What should she do?
Mathematics
2 answers:
miv72 [106K]3 years ago
6 0
From the very beginning, each door had a 1/3 probability chance to be holding the grand prize. And the fact that she saw the consolation prize behind one of them does not change this probability.
From the beginning, all doors had equal chances.

Based on this, the answer to your question would be:
She could either accept or not accept the host's offer <span>because the probabilities of the three doors were equal from the beginning.</span>
Maslowich3 years ago
5 0
She should keep her selection of Door A, if its the door she wants, then the Host should open the door for her

Hope this helps :)
You might be interested in
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule
Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113​.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139​.

Step-by-step explanation:

Given information:Scores of an IQ test have a​ bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between \overline{x}-\sigma and \overline{x}+\sigma.

95% data lies between \overline{x}-2\sigma and \overline{x}+2\sigma.

99.7% data lies between \overline{x}-3\sigma and \overline{x}+3\sigma.

(a)

\overline{x}-\sigma=100-13=87

\overline{x}+\sigma=100+13=113

[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113​.

(b)

\overline{x}-2\sigma=100-2(13)=74

\overline{x}+2\sigma=100+2(13)=126

[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126​.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126​.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

\overline{x}-3\sigma=100-3(13)=61

\overline{x}+3\sigma=100+3(13)=139

[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139​.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139​.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139​ is

P=\frac{1}{2}(0.3\%)=0.15\%

Therefore 0.15% of people has an IQ score greater than 139​.

5 0
4 years ago
Please please please help
scoundrel [369]
First option: p< -8 or p>5
-6+\left|2p+3\right|>7
-6+\left|2p+3\right|+6>7+6
\left|2p+3\right|>13
2p+3<-13\quad \quad \mathrm{or}\quad \:\quad \:2p+3>13
Combine:
p< -8 or p>5
Hope this helps!
3 0
3 years ago
Find f(-2) if f(x)=-x^3+2x^2+x-1
ser-zykov [4K]

Answer:

f(- 2) = 13

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = - (- 2)³ + 2(- 2)² + (- 2) - 1

        = - (- 8) + 2(4) - 2 - 1 = 8 + 8 - 2 - 1 = 13

3 0
3 years ago
Translate each sentence into an equation .
miskamm [114]
Underscore is that line lowered 
4 0
4 years ago
Use the information given to enter an equation in standard form.
Masja [62]
6= -2(4) +b
6=  -6     +b
+6   +6
!2= b

Y= -2x+12

Hope this helps
thanks
4 0
3 years ago
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