3 years ago

You roll a blue number cube and a green number cube. Find the probability. P(blue 1 or 2 and green 1)

Mathematics

1 answer:

slava [35]3 years ago

3 0

Answer:

Step-by-step explanation:

1 for both

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Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater

jeka57 [31]

Answer:

a. 0.1917

b. 0.0914

d. 0.1580

Step-by-step explanation:

(a)

$P^D = \frac{15}{40} = 0.375$

$P^E = \frac{11}{60} =0.8133$

Mean, $\sigma_{P^D-P^E} = P^D-P^E$ = 0.375 -0.1833 = 0.1917

(b) sample prop ? Show your work and label each value.

Mean, = = 0.1917

Standard deviation = $\sqrt{\frac{P^D(1-P^D)}{N_D} +\frac{P^E(1-P^E)}{N_E} }$

Standard deviation = $\sqrt{\frac{0.375(1-0.375)}{40} +\frac{0.1833(1 - 0.1833)}{60} }$

Standard deviation = 0.0914

(c)

Normality condition:

np ≥ 10 and n(1-p) ≥ 10

Both the samples satisfy the normality condition.

(d)

The probability is obtained by calculating the z score,

$z = \frac{(P^D-P^E)-(P^d-P^e)}{\sigma_{P^D - P^E}}$

$z = \frac{0.1917-0.1}{0.0914}$ = 1.0029

P(z > 1.0029) = 1 - P(z ≤ 1.0029)

The probability is obtained from the z distribution table,

P(Z > 1.0029) = 1 - 0.8420 = 0.1580

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