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Karo-lina-s [1.5K]
3 years ago
10

Brainliest + Points HELP ASAP

Mathematics
2 answers:
Solnce55 [7]3 years ago
7 0

Red: (32+29+23) =84

Autos: 373

84/373=.225

22.5 percent

D

Shtirlitz [24]3 years ago
4 0

Answer:

D.22%

Step-by-step explanation:

Hello, I think I can help you with this.

the proportion of red automobiles in the United States(P) is given by:

P=\frac{number\ of\ red\ automobiles }{number\ of\ automobiles\ in\ U.S.} *100%\\

Step 1

According to the table

number of red automobiles =32+29+23

number of red automobiles =84

Step 2

number of  automobiles=32+29+23+18+36+25+4+17+11+25+26+39+10+46+33

number of  automobiles=374

Step 3

put the values into the equation

P=\frac{number\ of\ red\ automobiles }{number\ of\ automobiles\ in\ U.S.} *100\\P=\frac{84\ cars}{374\ cars}*100 \\\\\\ P=0.2245*100\\P=22.45\ percent\\\\P=22\ percent

Proportion=22%⇒D.

Have a great day.

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By definition of conditional probability,

P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = P((<em>Y</em>₁ > <em>Y</em>₂) and (<em>Y</em>₁ < 2 <em>Y</em>₂)) / P(<em>Y</em>₁ < 2 <em>Y</em>₂)

Use the joint density to compute the component probabilities:

• numerator:

P((Y_1>Y_2)\text{ and }(Y_1

=\displaystyle\frac1{49}\int_0^\infty\int_{\frac{y_1}2}^{y_1}e^{-\frac{y_1+y_2}7}\,\mathrm dy_2\,\mathrm dy_1

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• denominator:

P(Y_1

(I leave the details of the second integral to you)

Then you should end up with

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