Investments are made in ten companies, and for each company there is a probabili

Question

Investments are made in ten companies, and for each company there is a probability ot 0.65 that the investment will deliver a profit. What is the probability that at least half (at least five) of the investments will deliver a profit? 10.A company receives 70% of its orders over the Internet. With a collection of 15 independently placed orders (some are phoned in, some are over the internet), what is the probability that between 7 and 10 (including 7 and 10) of the orders are received over the internet ? 11. suppose that x ~ U (-2,8)(uniform distribution) Find the following: a) E(x)

Explanation / Answer

9.

Note that P(at least x) = 1 - P(at most x - 1).          
          
Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    10      
p = the probability of a success =    0.65      
x = our critical value of successes =    5      
          
Then the cumulative probability of P(at most x - 1) from a table/technology is          
          
P(at most   4   ) =    0.09493408
          
Thus, the probability of at least   5   successes is  
          
P(at least   5   ) =    0.90506592 [ANSWER]

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.