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3 years ago

That is the correct answer

Mathematics

1 answer:

Arlecino [84]3 years ago

8 0

3 and 4/8 for question number one

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1) Two coins are to be flipped. The first coin will land on heads with probability .6, the second with probability .7. Assume th

ddd [48]

Answer:

(a) P(X=1)=0.46

(b) E[X]=1.3

Step-by-step explanation:

(a)

Let A be the event that first coin will land on heads and B be the event that second coin will land on heads.

According to the given information

$P(A)=0.6$

$P(B)=0.7$

$P(A')=1-P(A)=1-0.6=0.4$

$P(B')=1-P(B)=1-0.7=0.3$

P(X=1) is the probability of getting exactly one head.

P(X=1) = P(1st heads and 2nd tails ∪ 1st tails and 2nd heads)

= P(1st heads and 2nd tails) + P(1st tails and 2nd heads)

Since the two events are disjoint, therefore we get

$P(X=1)=P(A)P(B')+P(A')P(B)$

$P(X=1)=(0.6)(0.3)+(0.4)(0.7)$

$P(X=1)=0.18+0.28$

$P(X=1)=0.46$

Therefore the value of P(X=1) is 0.46.

(b)

Thevalue of E[X] is

$E[X]=\sum_{x}xP(X=x)$

$E[X]=0P(X=0)+1P(X=1)+2P(X=2)$

$E[X]=P(X=1)+2P(X=2)$ ..... (1)

First we calculate the value of P(X=2).

P{X = 2} = P(1st heads and 2nd heads)

= P(1st heads)P(2nd heads)

$P(X=2)=P(A)P(B)$

$P(X=2)=(0.6)(0.7)$

$P(X=2)=0.42$

Substitute P(X=1)=0.46 and P(X=2)=0.42 in equation (1).

$E[X]=0.46+2(0.42)$

$E[X]=1.3$

Therefore the value of E[X] is 1.3.

3 0

3 years ago

Can you use the SSS Postulate to prove QPS≈QRS?

Assoli18 [71]

Answer:

by SAS only

Step-by-step explanation:

based on the diagram we only have one side and one angle explicitly identified as equivalent.

but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.

so, SAS applies (but no other, as we don't have any information on the 3rd side).

4 0

2 years ago

(3x²-21x-24)take out the highest common factor

inessss [21]

Answer:

x = 8 or x = -1 is the answer

Step-by-step explanation:

3x² - 21x -24

divide with 3

x² - 7x - 8

Factorizing,

x² + x - 8x - 8

x(x + 1) -8 (x + 1)

(x - 8) (x + 1)

x = 8,-1

6 0

3 years ago

Read 2 more answers

Please answer this question

Virty [35]

Answer:

1. 38 = 1 • 38

2. 38 = 2 • 19

Step-by-step explanation:

2. 38 ÷ 19 = 2

6 0

2 years ago

Elsie bought a video game for $85. If the store charges 170% of its cost for the game, how much is the store's profit? *Hint: On

nikklg [1K]

Answer:

$ 59.5

Step-by-step explanation:

Calculation for how much is the store's profit

First step is to calculate the store's cost

Store's cost= 170/100 * $85

Store's cost =$144.5

Now let calculate the store's profit

Store'sProfit=$144.5-$85

Store's Profit=$ 59.5

Therefore the store's profit will be $59.5

7 0

2 years ago