How many kittens weigh at least 3/8 of a pound? (line plot)
2 answers:
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Answer:
a) P(x=3)=0.089
b) P(x≥3)=0.938
c) 1.5 arrivals
Step-by-step explanation:
Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.
The variable X is modeled by a Poisson process with a rate parameter of λ=6.
The probability of exactly k arrivals in a particular hour can be written as:
a) The probability that exactly 3 arrivals occur during a particular hour is:
b) The probability that <em>at least</em> 3 people arrive during a particular hour is:
c) In this case, t=0.25, so we recalculate the parameter as:
The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.
Answer:
The strategies (2), (3) and (5) can be applied.
Step-by-step explanation:
In this case we need to compute the product of 629 × 100.
The product can be found in the following ways:
- multiplying (600 + 20 + 9) x 100
- putting 2 zeros on the end of 629
- multiplying (6,000 + 200 +90) x 10
Thus, the strategies (2), (3) and (5) can be applied.