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List of top Mathematics Foundation Questions on Probability Distribution asked in GATE ES

An individual has four different email accounts. 60% of emails come into his corporate account,
30% come into his gmail account and the remaining 10% are equally divided into his yahoo and zoho accounts.
Only 1% of the emails in his corporate accounts are spam, whereas corresponding percentages for gmail, yahoo
and zoho accounts are 2%, 3% and 3%, respectively. Assuming that the same spam filter is used in all the four
email accounts, the probability (in percentage, rounded off to one decimal place) of having a randomly selected
email as spam is ____________.

  • GATE ES - 2022
  • GATE ES
  • Mathematics Foundation
  • Probability Distribution
X is normally distributed with the following data (25.8, 36.6, 26.3, 21.8, 27.2). Select the correct statement about X ($t_{\text{crit},\alpha=0.05,4}=2.132$):
  • GATE ES - 2022
  • GATE ES
  • Mathematics Foundation
  • Probability Distribution