Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. for a roll with two dice, the following events are

For a roll with two dice, the following events are considered: A: The sum of eyes is...

50.1K

Verified Solution

Question

Advance Math

For a roll with two dice, the following events areconsidered:
A: The sum of eyes is greater than 7.
B: Exactly one of the two numbers is a 5.
C: No 1 is rolled.
a) Calculate the probabilities
P (A), P (B), P (C), P (A ∩ B), P (A ∩ C), P (B ∩ C), P (A ∪ B), P(A | B), P (A | C), P (C | A), P (B | C).
b) Are events A and B independent or disjoint?

In a hall, there are four machines working independently of eachother, which do not fail within a certain time span with theprobabilities 0.9, 0.95, 0.8 and 0.85, respectively.
Calculate the probability that during this period
a) all four machines work b) no machine works
c) exactly one machine works d) exactly two machines work
e) exactly three machines work f) at least one machine works!

A device consists of 100 independent modules of equalfunctionality. Zk be that
Event that the kth group works reliably.
a) What is the probability that the device will work reliably at P(Zk) = 99%?

b) How big must P (Zk) be, so that P (ZGeraet) = 90%?

From a cancer test are given:
Events: T: test result positive, i. Suspected cancer
K: test subject krebskrank
Probability values: P (T | K) = P (Tc | Kc) = 0.95, P (K) =1/200
Calculate P (T) and P (K | T) and interpret the results!

Answer & Explanation Solved by verified expert
3.6 Ratings (327 Votes)
Q1a When two dies are rolled there are 36 outcomes possibleFor the set A the    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

You own 40,000 shares of stock of a company, representing 6 percent ownership. The company plans...

Finance
Q

The Miller Company sells tires to a customer in Canada on December 1, 20x1 with a...

Accounting
Q

One essential function of stomates is to control transpiration rates which in turn prevent excess...

Biology
Q

W E B Du Bois founded the O Niagara Movement O Democratic Party O American...

Biology
Q

1 Use coordinate notation to write the rule that maps each preimage to its image...

Geometry
Q

A firm has a required rate of return of 0.145. Its expected ROE is 0.151...

Basic Math
Q

An economist wants to estimate the mean per capita income (in thousands of dollars) for...

Basic Math
Q

Agricultural produce is defined in IAS 41 as: Select one: a. a living product...

Accounting
Q

Allowing transactions in the two-column journal May 1 Susan invested $5,000 cash to start the...

Accounting
Q

On December 31,2020, Monty Co. performed environmental consulting services for Hayduke Co. Hayduke was short...

Accounting
Q

You have just been asked by the Chief Executive Office of Papermark Ltd to provide...

Finance
Q

On May 20, Montero Company paid $252,000 to acquire 115 shares (7%) of ORD Corporation...

Accounting