What is the equation of the line instandard form which has slope -4/5 and y - intercept 3
1 answer:
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Answer:
(a) The probability that a text message user receives or sends three messages per hour is 0.2180.
(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.
Step-by-step explanation:
Let <em>X</em> = number of text messages receive or send in an hour.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.
It is provided that users receive or send 62.7 text messages in 24 hours.
Then the average number of text messages received or sent in an hour is: .
The probability of a random variable can be computed using the formula:
(a)
Compute the probability that a text message user receives or sends three messages per hour as follows:
Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.
(b)
Compute the probability that a text message user receives or sends more than three messages per hour as follows:
P (X > 3) = 1 - P (X ≤ 3)
= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)
Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.
Answer:
0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $188.876
Standard Deviation, σ = $4.6412
We are given that the distribution of stock price is a bell shaped distribution that is a normal distribution.
Formula:
P(stock price is between $186.26 and $192.47)
0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.