Question

Given that there is a 23% chance it will rain on any day, what is the...

Given that there is a 23% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?

Homework Answers

Answer #1

P(rain on a day) = 0.23

P(not rain on a day) = 1 - 0.23 = 0.77

Probability = 0.23 * (1 - 0.23) * (1 - 0.23)

= 0.23 * 0.77 * 0.77 = 0.136367

                          

               

                                 

                   

                                                   

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the state space {rain, no rain} to describe the weather each day. Let {Xn} be...
Consider the state space {rain, no rain} to describe the weather each day. Let {Xn} be the stochastic process with this state space describing the weather on the nth day. Suppose the weather obeys the following rules: – If it has rained for two days straight, there is a 20% chance that the next day will be rainy. – If today is rainy but yesterday was not, there is a 50% chance that tomorrow will be rainy. – If yesterday...
In​ November, the rain in a certain valley tends to fall in storms of several​ days'...
In​ November, the rain in a certain valley tends to fall in storms of several​ days' duration. The unconditional probability of rain on any given day of the month is 0.500 . But the probability of rain on a day that follows a rainy day is 0.900 ​, and the probability of rain on a day following a nonrainy day is 0.200 . Find the probability of rain on two randomly selected consecutive days in November. The probability of rain...
A friend asks you to guess if it will rain two days in a row. If...
A friend asks you to guess if it will rain two days in a row. If you are correct on both days, your friend will pay for dinner, if you are incorrect on either day, you will have to pay for dinner. You tell your friend you think it will rain on both days. Later, you see the weather forecast for each day. There is a 70% chance of rain on the first day and a 60% chance of rain...
The probability that an employee is late for work on any given day is 0.27. What...
The probability that an employee is late for work on any given day is 0.27. What is the probability that the employee will be late on exactly 4 days out of 10 days? Round your answer for two decimal places.
Assume for the last 2 questions that there is an 18% chance of rain, a 6%...
Assume for the last 2 questions that there is an 18% chance of rain, a 6% chance of the daily low temperature reaching below 40 Fo, and a 23% of at least one of the 2 events happening. 7. Create either a probability table or tree of the data. 8. Show mathematically if these two events are either independent, positively dependent, or negatively dependent.
On any single day working at Dunder Mifflin Inc., Dwight has a 38% chance of pulling...
On any single day working at Dunder Mifflin Inc., Dwight has a 38% chance of pulling a prank on Jim. Consider a 30 working days. Round everything to 3 decimal places. a) State the random variable (x = · · ·). b) What is a trial in this problem? How many are there? c) What is a success? What is a failure? What is the probability of each? d) Find the probability that Dwight pulls a prank on Jim, 10...
The weather forecast says that there is a 20% chance of rain each of the 4...
The weather forecast says that there is a 20% chance of rain each of the 4 hours during which your picnic is scheduled. What is the probability that there will be no rain in 3 of the 4 hours?
The probability that a machine is working on any given day is p for some 0...
The probability that a machine is working on any given day is p for some 0 < p < 1, and there are eight of them in a factory. 1. Suppose the factory can operate normally if at least two of the machines work. Find the probability that the factory operates normally for a day. 2. Suppose the factory can operate normally if at least seven of the machines work. Find the probability that the factory operates normally for two...
The probability that a wind chill on any given winter day will result in a wind...
The probability that a wind chill on any given winter day will result in a wind chill warning is 0.10. Suppose we select three independent days in winter. What is the probability that at least one day will have wind chills that result in wind chill warnings?
The Starfleet Academy soccer team excels on muddy fields in the rain. The probability that the...
The Starfleet Academy soccer team excels on muddy fields in the rain. The probability that the Starfleet Academy soccer team wins given that the field is muddy is 0.67 0.67 . The probability that the Starfleet Academy soccer team wins given that the field is dry is 0.56 0.56 . a. If the forecast for rain on game day has a 64 64 % chance of rain, what is the probability that the Starfleet Academy team wins? Tries 0/5 b....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT