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sweet [91]
3 years ago
10

Let x denote the courtship time for a randomly selected female–male pair of mating scorpion flies (time from the beginning of in

teraction until mating). suppose the mean value of x is 120 min and the standard deviation of x is 110 min (suggested by data in the article
Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Complete Question:

a) Is it plausible that X is normally distributed?

b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?

Answer:

a) It is plausible that X is normally distributed

b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269

Step-by-step explanation:

a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.

b) Probability that the sample mean courtship time is between 100 min and 125 min

\mu = 120\\n = 50

P(x_{1}  < \bar{X} < x_{2} ) = P(z_{2}  < \frac{x_{2}- \mu }{SD} ) - P(z_{1}  < \frac{x_{2}- \mu }{SD})

SD = \sqrt{\frac{\sigma^{2} }{n} } \\SD = \sqrt{\frac{110^{2} }{50} } \\SD = 15.56

P(100 < \bar{X}

From the probability distribution table:

P(z_{2}  < 0.32 ) = 0.6255\\ P(z_{1}  < -1.29) = 0.0986

P(100 < \bar{X}

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VashaNatasha [74]

Answer:

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Step-by-step explanation:

7 0
2 years ago
A and b are positive integers. Find −2a+3b if a^3 b^2=72.
Alexxx [7]
The answer for "-2a + 3b" is 5.

To solve this equation, you must first find "a" and "b". A^3 times B^2 = 72. In this case, a = 2 (2*2*2 = 8) and b = 3 (3*3 = 9) since their outcomes multiplied together equal 72.

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I hope this helps!!
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2 years ago
Find the percent of decrease if 110 is decreased to 88 A) 125% B)80% C)20%
stich3 [128]

Hey there! I'm happy to help!

We have 110 minus a certain percent of 110 equals 88. Let's call this percent p and solve.

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We subtract 110 from both sides.

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We divide both sides by 110.

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Therefore, the percent decrease is C) 20%.

Have a wonderful day! :D

4 0
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