A Random Variable X Is Normally Distributed with Mean

question 65

Multiple Choice

A random variable X is Normally distributed with mean = 75 and = 8.Let Y be a second Normally distributed random variable with mean = 70 and = 12.It is also known that X and Y are independent of one another.Let W be a random variable that is the difference between X and Y (i.e. ,W = X - Y) .What is the probability that W is greater than -5.5 (i.e. ,P{W > -5.5}) ?

• A)0.233
• B)0.512
• C)0.767
• D)0.488
• E)Not within ± 0.005 of any of the above

---

Definitions:

Malicious Code

Software or code designed to harm a computer, network, or server, often spreading viruses or stealing information.

Malicious Websites

Websites designed to harm or trick users by spreading malware, stealing personal information, or engaging in fraudulent activities.

White-Hat Hacker

A cybersecurity specialist who ethically breaches security systems to identify vulnerabilities and improve system protections, often employed by organizations.

Security Vulnerabilities

Weaknesses in a system that can be exploited to compromise its security or functionality.