James’ mom checks up on the plants every so often to ensure that they won’t die. However,she’s going on vacation for the next 15 days. If James forgets to water the plants for 3 ormore days the plants will die. Find the probability that James keeps the plants alive. Also,let Y be the random variable corresponding to the number of days James forgets to water theplant (Y≤3) describe the PMF of Y.

Respuesta :

Answer:

Step-by-step explanation:

There are 15 days for which Jame's mother is out on vacation. Therefore, Ry={1,2,3,...,15}, assuming each day is equally likely, Py(k)=1/15 for k=1,2,....,15

=0 otherwise

Py(1)=P(Y=1)=1/15

Py(2)=P(Y=2)=1/15+1/15=2/15

Py(3)=P(Y=3)=1/15+1/15+1/15=3/15

Px(Y)={P(Y=y) if y is in Ry

0 otherwise

Answer:P(X>5) = 0.7212

Step-by-step explanation: see attached file

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