Divide both sides with -16. ALWAYS remember that if you divide any number with a negative number, this "< ≤ > ≥" symbols have to change to the opposite direction

4 0

2 years ago

Read 2 more answers

A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market

Juliette [100K]

Answer:

The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.

Step-by-step explanation:

Denote the events provided as follows:

<em>S</em> = a product is successfully launched

<em>P</em> = positive test market result

The information provided is:

P (S) = 0.60

P (P | S) = 0.80

P (P | S') = 0.30

Then,

P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20

P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70

Compute the probability of positive test market result as follows:

$P(P)=P(P|S)P(S)+P(P|S')P(S')$

$=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60$

The probability of positive test market result is 0.60.

Then the probability of negative test market result is:

P (P') = 1 - P (P)

= 1 - 0.60

= 0.40

Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:

$P(S|P')=\frac{P(P'|S)P(S)}{P(P')}$

$=\frac{0.20\times 0.60}{0.40}\\\\=0.30$

Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.

6 0

3 years ago